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Search: id:A113761
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| A113761 |
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Numbers n such that the number of divisors of n equals both the sum and the product of digits of n in base 10. |
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+0
1
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| 1, 2, 22, 2114, 11222, 21122, 22211, 112116, 121116, 1111143, 1413111, 3411111, 11111128, 11111821, 11112118, 11121231, 11811112, 13111212, 18111112, 21111118, 21111181, 21121113, 23111121, 111112119, 111119211, 192111111
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Intersection of A074312 and A057531.
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EXAMPLE
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2114 belongs since 2+1+1+4=2*1*1*4=8 and 2114 has 8 divisors, {1, 2, 7, 14, 151, 302, 1057, 2114}.
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MATHEMATICA
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L={}; Do[d=IntegerDigits@n; p=Times@@d; If[p==Plus@@d && p==DivisorSigma[0, n], AppendTo[L, n]; Print[n]], {n, 1000000}]; L
lst = {}; fQ[n_] := (id = IntegerDigits@n; Plus @@ id == Times @@ id == DivisorSigma[0, n]); Do[ If[ fQ@n, AppendTo[lst, n]], {n, 2*10^8}]; lst
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CROSSREFS
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Cf. A034710, A057531, A074312.
Sequence in context: A132568 A015210 A054948 this_sequence A054349 A113930 A060601
Adjacent sequences: A113758 A113759 A113760 this_sequence A113762 A113763 A113764
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KEYWORD
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base,nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 18 2006
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EXTENSIONS
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a(13)-a(26) from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 19 2006
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