A117570 Numbers of the form k * (sum of digits of k) listed sorted with multiplicity.

0, 1, 4, 9, 10, 16, 22, 25, 36, 36, 40, 49, 52, 63, 64, 70, 81, 88, 90, 90, 100, 112, 115, 124, 136, 144, 160, 160, 162, 175, 190, 198, 202, 205, 208, 220, 238, 243, 250, 252, 280, 280, 301, 306, 306, 319, 324, 333, 352, 360, 360, 364, 370, 400, 405, 412, 418, 424

Offset: 1

Author

Ernesto Estrada (estrada66(AT)yahoo.com), Jan 02 2008

Keywords

• nonn
• base

Examples

			2008 is a term since 2008 = 251*(2+5+1).
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000
• Ömer Eğecioğlu and Bünyamin Şahin, On twin EP numbers, Transact. Comb. (2025) Vol. 14, Iss. 4, Art. No. 4, 261-270. See p. 262.
• Ernesto Estrada, Puri Pereira-Ramos, Spatial 'Artistic' Networks: From Deconstructing Integer-Functions to Visual Arts, Complexity, Vol. 2018 (2018), Article ID 9893867.

Crossrefs

Sorted terms of A057147.

Terms without duplicates are given by A337816.

Programs

Mathematica

With[{nn = 400}, TakeWhile[#, # <= nn &] &@ Union@ Array[# Total@ IntegerDigits[#] &, nn + 1, 0]] (* Michael De Vlieger, Apr 19 2018 *)