An integer number in base 10 which is divisible by sum of it digits is said to be a Harshad Number. An n-harshad number is an integer number divisible by sum of its digit in base n.
Below are first few Harshad Numbers represented in base 10:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20………
Given a number in base 10, our task is to check if it is a Harshad Number or not.
Examples :
Input: 3 Output: 3 is a Harshad Number Input: 18 Output: 18 is a Harshad Number Input: 15 Output: 15 is not a Harshad Number
1. Extract all the digits from the number using % operator and calculate the sum.
2. Check if the number is divisible by sum.
Below is implementation of above idea:
C/C++
// C++ program to check if a number is Harshad // Number or not. #include <bits/stdc++.h> using namespace std; // function to check Harshad Number bool checkHarshad(int n) { // calculate sum of digits int sum = 0; for (int temp = n; temp > 0; temp /= 10) sum += temp % 10; // Return true if sum of digits is multiple // of n return (n % sum == 0); } // driver program to check above function int main() { checkHarshad(12) ? cout << "Yes\n" : cout << "No\n"; checkHarshad(15) ? cout << "Yes\n" : cout << "No\n"; return 0; } |
Java
// Java program to check if a number is Harshad // Number or not public class GFG { // method to check Harshad Number static boolean checkHarshad(int n) { // calculate sum of digits int sum = 0; for (int temp = n; temp > 0; temp /= 10) sum += temp % 10; // Return true if sum of digits is multiple // of n return (n % sum == 0); } // Driver program to test above functions public static void main(String[] args) { System.out.println(checkHarshad(12) ? "Yes" : "No"); System.out.println(checkHarshad(15) ? "Yes" : "No"); } } |
Python
# Python program to check # if a number is Harshad # Number or not. def checkHarshad( n ) : sum = 0 temp = n while temp > 0 : sum = sum + temp % 10 temp = temp // 10 # Return true if sum of # digits is multiple of n return n % sum == 0 # Driver Code if(checkHarshad(12)) : print("Yes") else : print ("No") if (checkHarshad(15)) : print("Yes") else : print ("No") # This code is contributed # by Nikita Tiwari |
C#
// C# program to check if a number is Harshad // Number or not using System; public class GFG { // method to check Harshad Number static bool checkHarshad(int n) { // calculate sum of digits int sum = 0; for (int temp = n; temp > 0; temp /= 10) sum += temp % 10; // Return true if sum of digits is // multiple of n return (n % sum == 0); } // Driver program to test above functions public static void Main() { Console.WriteLine(checkHarshad(12) ? "Yes" : "No"); Console.WriteLine(checkHarshad(15) ? "Yes" : "No"); } } // This code is contributed by vt_m. |
PHP
<?php // php program to check if // a number is Harshad // Number or not. // function to check // Harshad Number function checkHarshad($n) { // calculate sum of digits $sum = 0; for ($temp = $n; $temp > 0; $temp /= 10) $sum += $temp % 10; // Return true if sum of // digits is multiple of n return ($n % $sum == 0); } // Driver Code $k = checkHarshad(12) ? "Yes\n" : "No\n"; echo($k); $k = checkHarshad(15) ? "Yes\n" : "No\n"; echo($k); // This code is contributed by ajit. ?> |
Output :
Yes No
References:
https://en.wikipedia.org/wiki/Harshad_number
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