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A007602 Numbers that are divisible by the product of their digits.
(Formerly M0482)
+0
9
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 24, 36, 111, 112, 115, 128, 132, 135, 144, 175, 212, 216, 224, 312, 315, 384, 432, 612, 624, 672, 735, 816, 1111, 1112, 1113, 1115, 1116, 1131, 1176, 1184, 1197, 1212, 1296, 1311, 1332, 1344, 1416, 1575, 1715, 2112, 2144 (list; graph; listen)
OFFSET

1,2

COMMENT

These are called Zuckerman numbers to base 10. [From Howard Berman (howard_berman(AT)hotmail.com), Nov 09 2008]

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Wikipedia, Zuckerman number [From Howard Berman (howard_berman(AT)hotmail.com), Nov 09 2008]

MATHEMATICA

Select[Range[5000], IntegerQ[ #/(Times @@ IntegerDigits[ # ])] &] (from Alonso Delarte (alonso.delarte(AT)gmail.com), Aug 04 2004)

CROSSREFS

Cf. A002796, A034709, A034838.

Sequence in context: A034838 A063527 A064700 this_sequence A167620 A095227 A131366

Adjacent sequences: A007599 A007600 A007601 this_sequence A007603 A007604 A007605

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. Wilson v (rgwv(AT)rgwv.com)

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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