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Numbers which factor as their digital sum times a prime. (English) Zbl 1305.11007
Summary: A natural number \(n\) is Niven when \(n\) is divisible by its digital sum, denoted by \(S(n)\).
We study Niven numbers which come in the form \(n = S(n) \times p\), for some prime number \(p\). Two constructions of such numbers are given, with suggestions for further studies and conjectures to solve.
MSC:
11A63 Radix representation; digital problems
11A41 Primes
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