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

• Difficulty Level : Medium
• Last Updated : 03 Mar, 2021

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.

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`

## Javascript

 ``
Output:
`Yes`

Time complexity: O( length of N )

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