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A Harshad Number = JOY + GIVE = JOY-GIVER!!

A Harshad number, or Niven number in a given number base, is

an integer that is divisible by the sum of its digits when written in

that base. Harshad numbers were defined by D. R. Kaprekar,

a mathematician from India. The word "Harshad" comes from

the Sanskrit harṣa (joy) + da (give), meaning joy-giver.

The Niven numbers take their name from Ivan M. Niven from a

paper delivered at a conference on number theory in 1997. All

integers between zero and n are Harshad numbers in base n.

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