Search: id:A090060
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%I A090060
%S A090060 40500,81000,98010,105300
%N A090060 Numbers n divisible by exactly five nontrivial permutations (rearrangements) 
               of the digits of n.
%C A090060 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.
%H A090060 C. Seggelin, <a href="http://www.plastereddragon.com/maths/asortdiv.htm">
               Numbers Divisible by Digit Permutations</a>.
%e A090060 a(3)=98010 because 98010 is divisible by 198, 891, 1089, 8910 and 10890, 
               five nontrivial permutations of 98010.
%Y A090060 Cf. A090055, A090057, A090058, A090059, A090061.
%Y A090060 Sequence in context: A071550 A072269 A033984 this_sequence A097238 A046180 
               A164648
%Y A090060 Adjacent sequences: A090057 A090058 A090059 this_sequence A090061 A090062 
               A090063
%K A090060 nonn,base
%O A090060 1,1
%A A090060 Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003

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