# Check whether a given number N is a Nude Number or not

Given an integer N, the task is to check whether N is a Nude number or not.

A Nude number is a number that is divisible by all of its digits (which should be nonzero).

Example:

Input: N = 672
Output: Yes
Explanation:
Since, 672 is divisible by all of its three digits 6, 7 and 2. Therefore the output is Yes.

Input: N = 450
Output: No
Explanation:
Since, 450 is not divisible by 0 (Also it gives exception). Therefore the output is No.

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: Extract digits from number one by one and check these two conditions:

1. The digit must be non-zero, to avoid exception
2. And the digit must divide the number N

When both these condition is satisfied by all digits of N, then the number is called Nude number.

Below is the implementation of the above approach:

## C++

 `// C++ program to check if the ` `// number if Nude number or not ` ` `  `#include ` `using` `namespace` `std; ` ` `  `// Check if all digits ` `// of num divide num ` `bool` `checkDivisbility(``int` `num) ` `{ ` `    ``// array to store all digits ` `    ``// of the given number ` `    ``int` `digit; ` `    ``int` `N = num; ` `    ``while` `(num != 0) { ` `        ``digit = num % 10; ` `        ``num = num / 10; ` ` `  `        ``// If any of the condition ` `        ``// is true for any digit ` `        ``// Then N is not a nude number ` `        ``if` `(digit == 0 || N % digit != 0) ` `            ``return` `false``; ` `    ``} ` ` `  `    ``return` `true``; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `N = 128; ` ` `  `    ``bool` `result = checkDivisbility(N); ` `    ``if` `(result) ` `        ``cout << ``"Yes"``; ` `    ``else` `        ``cout << ``"No"``; ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java program to check if the ` `// number if Nude number or not ` `import` `java.util.*; ` `class` `GFG{ ` ` `  `// Check if all digits ` `// of num divide num ` `static` `boolean` `checkDivisbility(``int` `num) ` `{ ` `    ``// array to store all digits ` `    ``// of the given number ` `    ``int` `digit; ` `    ``int` `N = num; ` `    ``while` `(num != ``0``)  ` `    ``{ ` `        ``digit = num % ``10``; ` `        ``num = num / ``10``; ` ` `  `        ``// If any of the condition ` `        ``// is true for any digit ` `        ``// Then N is not a nude number ` `        ``if` `(digit == ``0` `|| N % digit != ``0``) ` `            ``return` `false``; ` `    ``} ` `    ``return` `true``; ` `} ` ` `  `// Driver code ` `public` `static` `void` `main(String[] args) ` `{ ` `    ``int` `N = ``128``; ` ` `  `    ``boolean` `result = checkDivisbility(N); ` `    ``if` `(result) ` `        ``System.out.print(``"Yes"``); ` `    ``else` `        ``System.out.print(``"No"``); ` `} ` `} ` ` `  `// This code is contributed by 29AjayKumar `

## Python3

 `# Python3 program to check if the ` `# number if nude number or not ` ` `  `# Check if all digits ` `# of num divide num ` `def` `checkDivisbility(num): ` `     `  `    ``# Array to store all digits ` `    ``# of the given number ` `    ``digit ``=` `0` `    ``N ``=` `num ` `     `  `    ``while` `(num !``=` `0``): ` `        ``digit ``=` `num ``%` `10` `        ``num ``=` `num ``/``/` `10` ` `  `        ``# If any of the condition ` `        ``# is true for any digit ` `        ``# then N is not a nude number ` `        ``if` `(digit ``=``=` `0` `or` `N ``%` `digit !``=` `0``): ` `            ``return` `False` ` `  `    ``return` `True` ` `  `# Driver code ` `if` `__name__ ``=``=` `'__main__'``: ` `     `  `    ``N ``=` `128` ` `  `    ``result ``=` `checkDivisbility(N) ` `    ``if` `(result): ` `        ``print``(``"Yes"``) ` `    ``else``: ` `        ``print``(``"No"``) ` ` `  `# This code is contributed by mohit kumar 29`

## C#

 `// C# program to check if the ` `// number if Nude number or not ` `using` `System; ` `class` `GFG{ ` ` `  `// Check if all digits ` `// of num divide num ` `static` `bool` `checkDivisbility(``int` `num) ` `{ ` `    ``// array to store all digits ` `    ``// of the given number ` `    ``int` `digit; ` `    ``int` `N = num; ` `    ``while` `(num != 0)  ` `    ``{ ` `        ``digit = num % 10; ` `        ``num = num / 10; ` ` `  `        ``// If any of the condition ` `        ``// is true for any digit ` `        ``// Then N is not a nude number ` `        ``if` `(digit == 0 || N % digit != 0) ` `            ``return` `false``; ` `    ``} ` `    ``return` `true``; ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main() ` `{ ` `    ``int` `N = 128; ` ` `  `    ``bool` `result = checkDivisbility(N); ` `    ``if` `(result) ` `        ``Console.Write(``"Yes"``); ` `    ``else` `        ``Console.Write(``"No"``); ` `} ` `} ` ` `  `// This code is contributed by Nidhi_biet `

Output:

```Yes
```

Time complexity: O( length of N )

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.