%I #10 Jun 05 2024 04:25:14
%S 40500,81000,98010,105300
%N Numbers n divisible by exactly five nontrivial permutations (rearrangements) of the digits of n.
%C 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 Chuck Seggelin, <a href="https://web.archive.org/web/20040621151703/http://www.plastereddragon.com:80/maths/asortdiv.htm">Numbers Divisible by Digit Permutations</a>.
%e 98010 is a term because 98010 is divisible by 198, 891, 1089, 8910 and 10890, five nontrivial permutations of 98010.
%Y Cf. A090055, A090057, A090058, A090059, A090061.
%K nonn,base,more
%O 1,1
%A Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003
