A341182 Numbers that when divided by the sum of their digits leave 15 as remainder.

79, 287, 367, 498, 499, 593, 655, 687, 695, 697, 746, 775, 797, 875, 876, 879, 895, 899, 939, 943, 946, 1087, 1288, 1358, 1375, 1459, 1489, 1519, 1569, 1595, 1599, 1663, 1664, 1687, 1695, 1758, 1775, 1807, 1817, 1884, 1885, 1887, 1947, 1951, 1955, 1959, 1970, 1972

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

• base
• nonn

Examples

			a(1) = 79 and 79 is 16*4 with remainder 15;
a(2) = 287 and 287 is 17*16 with remainder 15; etc.
		

Links

• Carole Dubois, Table of n, a(n) for n = 1..5001

Crossrefs

Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).

Programs

Mathematica

Select[Range[2000],Mod[#,Total[IntegerDigits[#]]]==15&] (* Harvey P. Dale, Sep 03 2021 *)