On an asymptotic formula for the niven numbers

Curtis Niles Cooper, Robert E. Kennedy · International Journal of Mathematics and Mathematical Sciences · 1985

A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented. This result will be an asymptotic formula for Nk(x) which denotes the number of Niven numbers less than x with digital sum k.

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