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DHIRAJ LOTLIKAR
Information Technology
06 Feb 2019

# What is Harshad number or Niven number and how to check given number is niven number?

Harshad number or Niven number is a number which is divisible by the sum of its digits. For example,

1) 21 is a Harshad number because it is divisible by the sum of its digits.

21 –> sum of digits –> 2+1 = 3 and 21 is divisible by 3 –> 21/3 = 7.

2) 111 is a Harshad number because it is divisible by the sum of its digits.

111 –> sum of digits –> 1+1+1 = 3 and 111 is divisible by 3 –> 111/3 = 37

3) 153 is a Harshad number. It is divisible by the sum of its digits.

153 –> sum of its digits –> 1+5+3 = 9 and 153 is divisible by 9 –> 153/9 = 17

Following are the steps of algorithm to find a given number is Harshad number;

Step 1 : Let inputNumber be the input number and sum be the sum of its digits.

Step 2 : First find the sum of digits of inputNumber and store it in sum.

while (inputNumber != 0)
{
lastDigit = inputNumber % 10;
sum = sum + lastDigit;
inputNumber = inputNumber / 10;
}

Step 3 : If inputNumber is divisible by the sum, then inputNumber is a Harshad number.