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

Author

Matthew Conroy, Feb 02 2006

Keywords

• base
• nonn

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.

Examples

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

Crossrefs

Cf. A038369.