Minimal Niven numbers
arXiv:0803.0477 · doi:10.4064/aa132-2-3
Abstract
Define a(k,q) to be the smallest positive multiple of k such that the sum of its digits in base q is equal to k. The asymptotic behavior, lower and upper bound estimates of a(k,q) are investigated. A characterization of the minimality condition is also considered.
28 pages, 2 figures