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A055933 Product of digits (not counting zeros) of n divides sum of digits of n. 1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 22, 30, 40, 50, 60, 70, 80, 90, 100, 101, 110, 111, 112, 121, 123, 132, 200, 202, 211, 213, 220, 231, 300, 312, 321, 400, 500, 600, 700, 800, 900, 1000, 1001, 1010, 1011, 1012, 1021, 1023, 1032, 1100, 1101, 1102, 1110 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

MATHEMATICA

Do[a=IntegerDigits[FromDigits[Sort[IntegerDigits[n]]]]; If[Mod[Apply[Plus, a], Apply[Times, a]]==0, Print[n]], {n, 5000}]

pdsdQ[n_]:=Module[{idnz=Select[IntegerDigits[n], #!=0&]}, Divisible[Total[ idnz], Times@@idnz]]; Select[Range[1200], pdsdQ] (* Harvey P. Dale, Aug 13 2015 *)

CROSSREFS

Sequence in context: A193460 A114801 A114802 * A188650 A132578 A101318

Adjacent sequences:  A055930 A055931 A055932 * A055934 A055935 A055936

KEYWORD

easy,nonn,base

AUTHOR

Robert G. Wilson v, Jul 17 2000

STATUS

approved

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Last modified September 23 04:54 EDT 2020. Contains 337295 sequences. (Running on oeis4.)