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A056770 Smallest number that is n times the product of its digits or 0 if impossible. 2
1, 36, 15, 384, 175, 12, 735, 128, 135, 0, 11, 1296, 624, 224, 0, 0, 816, 216, 1197, 0, 315, 132, 115, 0, 0, 0, 2916, 1176, 3915, 0, 93744, 0, 51975, 78962688, 0, 82944, 1184, 0, 0, 0, 31488, 0, 0, 77616, 77175, 4416, 0, 12288, 1715, 0, 612 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

David W. Wilson, Table of n, a(n) for n = 1..1000

EXAMPLE

a(4) = 384 because 4*(product of digits of 384) = 4*96 = 384, and no number smaller than 384 has 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: A073405 A298572 A260383 * A061038 A058231 A008894

Adjacent sequences:  A056767 A056768 A056769 * A056771 A056772 A056773

KEYWORD

nonn,base

AUTHOR

Robert G. Wilson v, Aug 16 2000

STATUS

approved

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Last modified February 17 12:14 EST 2020. Contains 331996 sequences. (Running on oeis4.)