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Harshad Number or Niven Number

The concept of Harshad number was given by D. R. Kaprekar, one of the great mathematicians from the country India. Harshad number or Niven number is any positive integer b that is divisible by its sum of digits (SOD). The term Niven number was coined by Ivan Morton Niven, a Canadian-American mathematician, who specializes in number theory.

As per the definition:

Harshad number b = number / sum of digits

Below are some examples:

Number 12

Sum of digits = 1 + 2 => 3

Here, number 12 is divisible by its sum of digits 3, and the resultant is 4.

Number 18

Sum of digits = 1 + 8 => 9

Here, number 18 is divisible by its sum of digits 9, and the resultant is 2.

Number 72

Sum of digits = 7 + 2 => 9

Here, number 72 is divisible by its sum of digits 9, and the resultant is 8.

Number 110

Sum of digits = 1 + 1 + 0 => 2

Here, number 110 is divisible by its sum of digits 2, and the resultant is 55.

Number 135

Sum of digits = 1 + 3 + 5 => 9

Here, number 135 is divisible by its sum of digits 9, and the resultant is 15.

Hope you have understood the concept of Harshad number or Niven number. In case of any issue, kindly provide your valuable comments regarding the same.

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