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Search: id:A049102
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| A049102 |
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Numbers n such that n is a multiple of (product of digits of n) * (sum of digits of n). |
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+0
5
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| 1, 12, 111, 112, 135, 144, 216, 432, 2112, 11112, 11115, 11232, 12312, 13824, 14112, 21112, 23112, 27216, 31212, 41112, 81216, 93312, 111132, 122112, 124416, 131112, 132192, 186624, 212112, 221112, 221184, 222912, 239112, 248832, 311472, 316224
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Empirically, it looks as if every number of the form (10^3^n-1)/9 has this property. - David W. Wilson (davidwwilson(AT)comcast.net), Dec 12, 2001
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MATHEMATICA
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Select[ Range[10^6], IntegerQ[ # /(Apply[ Times, IntegerDigits[ # ]] * Apply[ Plus, IntegerDigits[ # ]] ) ] & ]
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CROSSREFS
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Cf. A038369, A049101, A049105, A049106.
Sequence in context: A037714 A037616 A048532 this_sequence A075231 A085773 A066042
Adjacent sequences: A049099 A049100 A049101 this_sequence A049103 A049104 A049105
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KEYWORD
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nonn,base
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AUTHOR
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Olivier Gerard (ogerard(AT)ext.jussieu.fr)
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