A341177 Numbers that when divided by the sum of their digits leave 10 as remainder.

49, 65, 164, 166, 197, 248, 263, 283, 362, 374, 394, 461, 517, 538, 560, 626, 634, 656, 682, 694, 751, 752, 809, 826, 865, 868, 962, 970, 998, 1055, 1154, 1219, 1253, 1256, 1258, 1268, 1336, 1352, 1378, 1382, 1451, 1453, 1508, 1546, 1549, 1550, 1570, 1574, 1634, 1690

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Keywords

• base
• nonn

Examples

			a(1) = 49 and 49 is 13*3 with remainder 10;
a(2) = 65 and 65 is 11*5 with remainder 10; 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[1700],Mod[#,Total[IntegerDigits[#]]]==10&] (* Harvey P. Dale, Jun 22 2021 *)