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Numbers that when divided by the sum of their digits leave 12 as remainder.
1

%I #16 Jul 19 2023 17:33:30

%S 68,87,177,194,267,268,337,357,386,446,447,454,487,492,537,539,556,

%T 571,572,579,582,627,658,672,692,717,762,768,805,807,824,829,844,845,

%U 852,894,922,942,950,957,958,992,996,1039,1076,1077,1156,1167,1257,1273,1276

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

%H Carole Dubois, <a href="/A341179/b341179.txt">Table of n, a(n) for n = 1..5001</a>

%e a(1) = 68 and 68 is 14*4 with remainder 12;

%e a(2) = 87 and 87 is 15*5 with remainder 12; etc.

%t Select[Range[1500],Mod[#,Total[IntegerDigits[#]]]==12&] (* _Harvey P. Dale_, Jul 19 2023 *)

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

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Feb 06 2021