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A182698
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a(n) = the largest 5-digit number with exactly n divisors, a(n) = 0 if no such number exists.
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0
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0, 99991, 97969, 99998, 83521, 99997, 15625, 99995, 98596, 99952, 59049, 99999, 0, 99873, 99856, 99992, 65536, 99972, 0, 99984, 88209, 99328, 0, 99996, 50625, 94208, 96100, 99904, 0, 99568, 0, 99968, 50176, 0, 40000, 99936, 0, 0, 36864, 99760, 0, 99648, 0, 97280, 99225, 0, 0, 99990, 46656, 94608
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..50.
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FORMULA
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A000005(a(n)) = n for a(n) > 0.
128 = max n such that a(n) > 0, a(n) = 0 for n > 128.
a(n) >= A182697(n).
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MATHEMATICA
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With[{nd=Table[{n, DivisorSigma[0, n]}, {n, 99999, 10000, -1}]}, Table[ SelectFirst[ nd, #[[2]]==k&], {k, 50}]][[All, 1]]/."NotFound"->0 (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 13 2018 *)
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CROSSREFS
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Cf. A182697
Sequence in context: A232188 A032428 A204523 * A033427 A027663 A168652
Adjacent sequences: A182695 A182696 A182697 * A182699 A182700 A182701
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KEYWORD
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nonn,base
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AUTHOR
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Jaroslav Krizek, Nov 27 2010
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STATUS
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approved
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