A341179 Numbers that when divided by the sum of their digits leave 12 as remainder.

68, 87, 177, 194, 267, 268, 337, 357, 386, 446, 447, 454, 487, 492, 537, 539, 556, 571, 572, 579, 582, 627, 658, 672, 692, 717, 762, 768, 805, 807, 824, 829, 844, 845, 852, 894, 922, 942, 950, 957, 958, 992, 996, 1039, 1076, 1077, 1156, 1167, 1257, 1273, 1276

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

• base
• nonn

Examples

			a(1) = 68 and 68 is 14*4 with remainder 12;
a(2) = 87 and 87 is 15*5 with remainder 12; 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[1500],Mod[#,Total[IntegerDigits[#]]]==12&] (* Harvey P. Dale, Jul 19 2023 *)