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Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).
(Formerly M2405)
4

%I M2405 #22 Oct 21 2023 17:02:57

%S 1,3,5,7,9,20,42,108,110,132,198,209,222,266,288,312,378,400,468,512,

%T 558,648,738,782,804,828,918,1032,1098,1122,1188,1212,1278,1300,1368,

%U 1458,1526,1548,1638,1704,1728,1818,1974,2007,2022,2088,2112,2156,2178

%N Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).

%D D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.

%D D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H N. J. A. Sloane, <a href="/A003219/b003219.txt">Table of n, a(n) for n = 1..7045</a>

%t Select[list=Range[2178]; Complement[list,Table[n+Total[IntegerDigits[n]],{n,list}]], IntegerQ[#/Total[IntegerDigits[#]]] &] (* _Jayanta Basu_, May 05 2013 *)

%Y Cf. A003052, A005349.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _James A. Sellers_, Jul 06 2000