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A056770 Smallest number that is n times the product of its digits or 0 if impossible. 0
1, 36, 15, 384, 175, 12, 735, 128, 135, 0, 11, 1296, 624, 224 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

EXAMPLE

a(4)= 384 because the product of the digits of 384 *4 = 384 and is the least such number that exhibits this property.

MATHEMATICA

Do[k = n; If[Mod[n, 10] == 0, Print[0]; Continue[]]; While[Apply[Times, RealDigits[k][[1]]]*n != k, k += n]; Print[k], {n, 1, 50}]

CROSSREFS

Cf. A007602, A003634.

Sequence in context: A109256 A066583 A073405 * A061038 A058231 A008894

Adjacent sequences:  A056767 A056768 A056769 * A056771 A056772 A056773

KEYWORD

nonn,base

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 16 2000

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Last modified February 14 22:15 EST 2012. Contains 205670 sequences.