A114061 Numbers n such that n = (product of digits of n) * (sum of digits of n) in some base.

0, 1, 6, 12, 16, 20, 30, 42, 48, 54, 56, 72, 90, 96, 110, 128, 132, 135, 144, 156, 160, 162, 176, 182, 210, 231, 240, 250, 272, 300, 306, 324, 336, 342, 380, 384, 420, 432, 448, 455, 462, 480, 495, 504, 506, 540, 552, 576, 600, 624, 650, 663, 686, 702, 720, 750

Offset

1,3

Comments

This sequence is infinite since b^2+b is in the sequence for all b>1: in base b, b^2+b has digits {1,b} and (1*b)*(1+b)=b^2+b.

Links

Table of n, a(n) for n=1..56.

Example

12 is in the sequence since in base 9, 12 has digits {1,3} and (1*3)*(1+3)=12.

Crossrefs

Cf. A038369.

Sequence in context: A315638 A315639 A106504 * A364150 A315640 A315641

Adjacent sequences: A114058 A114059 A114060 * A114062 A114063 A114064

Keyword

base,nonn

Author

Matthew Conroy, Feb 02 2006

Status

approved