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Search: id:A072081
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A072081 Numbers divisible by the square of the sum of their digits in base 10. +0
4
1, 10, 20, 50, 81, 100, 112, 162, 200, 243, 324, 392, 400, 405, 500, 512, 605, 648, 810, 972, 1000, 1053, 1100, 1120, 1134, 1183, 1215, 1296, 1400, 1620, 1701, 1900, 1944, 2000, 2025, 2106, 2156, 2240, 2268, 2300, 2401, 2430, 2511, 2592, 2704, 2800, 2916 (list; graph; listen)
OFFSET

1,2

EXAMPLE

n=9477, sumdigit(9477)=27, q=9477=27.27.13.

MATHEMATICA

sud[x_] := Apply[Plus, IntegerDigits[x]] Do[s=sud[n]^2; If[IntegerQ[n/s], Print[n]], {n, 1, 10000}]

CROSSREFS

Cf. A005349, A003634.

Sequence in context: A110804 A048063 A007927 this_sequence A034087 A117562 A115045

Adjacent sequences: A072078 A072079 A072080 this_sequence A072082 A072083 A072084

KEYWORD

base,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jun 14 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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