Definition:Harshad Number

Definition
A harshad number is a positive integer which is divisible by the sum of its digits base $10$. Hence a harshad number is a Niven number base $10$.

The name comes from the Sanskrit word हर्ष (harṣa + da), which means giving joy.

It was described by.

Clearly all numbers of one digit are Harshad.

Also see

 * One-Digit Number is Harshad


 * Definition:Niven Number
 * Definition:All-Harshad Number