A236751 Positive integers n such that n^3 divided by the digital sum of n is a cube.

1, 8, 10, 26, 44, 62, 80, 100, 116, 134, 152, 170, 206, 224, 242, 260, 314, 332, 350, 404, 422, 440, 512, 530, 602, 620, 710, 800, 999, 1000, 1016, 1034, 1052, 1070, 1106, 1124, 1142, 1160, 1214, 1232, 1250, 1304, 1322, 1340, 1412, 1430, 1502, 1520, 1610

Offset: 1

Author

Colin Barker, Jan 30 2014

Keywords

• nonn
• easy
• base

Examples

			152 is in the sequence because the digital sum of 152 is 8, and 152^3/8 = 438976 = 76^3.
		

Links

• Colin Barker, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A007953, A236748, A236749, A236750.

Programs

PARI

s=[]; for(n=1, 3000, d=sumdigits(n); if(n^3%d==0 && ispower(n^3\d, 3), s=concat(s, n))); s