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Search: id:A132628
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| A132628 |
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Numbers n for which the sum of their digits divides sigma(n). |
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+0
2
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| 1, 6, 10, 11, 15, 19, 20, 22, 24, 30, 31, 33, 35, 42, 51, 52, 60, 62, 66, 68, 71, 79, 87, 90, 100, 101, 102, 103, 104, 105, 109, 110, 112, 114, 118, 120, 123, 124, 130, 132, 136, 138, 141, 143, 145, 147, 150, 153, 160, 161, 165, 167, 168, 174, 177, 190, 194, 198
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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n=147 -> sigma(n)=1+3+7+21+49+147=228 Sum_digits(n)=1+4+7=12 -> 228/12 = 19
n=177 -> sigma(n)=1+3+59+177=240 Sum_digits(n)=1+7+7=15 -> 240/15 = 16
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MAPLE
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with(numtheory); P:=proc(n) local a, i, j, k, w; for i from 1 by 1 to n do w:=0; k:=i; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; j:=sigma(i)/w; if trunc(j)=j then print(i, j); fi; od; end: P(200)
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CROSSREFS
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Cf. A007691, A054030, A132629.
Sequence in context: A111093 A087873 A107014 this_sequence A039509 A068442 A096549
Adjacent sequences: A132625 A132626 A132627 this_sequence A132629 A132630 A132631
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Aug 24 2007
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