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A090060 Numbers n divisible by exactly five nontrivial permutations (rearrangements) of the digits of n. +0
5
40500, 81000, 98010, 105300 (list; graph; listen)
OFFSET

1,1

COMMENT

Trivial permutations are identified as (1) permutation = n, or (2) when n mod 10=0, permutations of n's digits which result in shifting only trailing zeros to the most significant side of n where they drop off, such that permutation = n/10^z, where z <= the number of trailing zeros of n. So if n were 1809000, the following permutations would be excluded as trivial: 1809000, 0180900, 0018090, 0001809.

LINKS

C. Seggelin, Numbers Divisible by Digit Permutations.

EXAMPLE

a(3)=98010 because 98010 is divisible by 198, 891, 1089, 8910 and 10890, five nontrivial permutations of 98010.

CROSSREFS

Cf. A090055, A090057, A090058, A090059, A090061.

Sequence in context: A071550 A072269 A033984 this_sequence A097238 A046180 A164648

Adjacent sequences: A090057 A090058 A090059 this_sequence A090061 A090062 A090063

KEYWORD

nonn,base

AUTHOR

Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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