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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A090053 Numbers divisible by the number formed when their digits are sorted in ascending order, excluding trivial cases.

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%I A090053 #5 Jun 08 2025 16:15:42
%S A090053 105,108,405,510,540,702,703,810,1001,1005,1008,1020,1050,1080,2002,
%T A090053 2016,2025,2040,2050,2100,3003,3042,3060,3105,3510,4004,4005,4050,
%U A090053 4080,4200,5005,5010,5040,5049,5100,5130,5200,5400,6006,6084
%N A090053 Numbers divisible by the number formed when their digits are sorted in ascending order, excluding trivial cases.
%C A090053 Trivial cases are identified as (1) values of k where the digits are already in ascending order, like 123 or 2228, such that ASort(k)=k, or (2) values of k where k mod 10 = 0 and all digits other than trailing zeros are in ascending order, like 12000 or 333500, such that ASort(k)=k/10^z, where z = the number of trailing zeros of k. In case (1), k/ASort(k) is equivalent to k/k (as in 123/123). In case (2), k/ASort(k) is 10^z (as in 12000/12). Neither of these cases is very interesting.
%C A090053 Sequence A084687 is a subsequence of this sequence, but that sequence excludes any value of k with 1 or more zero digits.
%H A090053 C. Seggelin, <a href="http://www.plastereddragon.com/maths/asortdiv.htm">Numbers Divisible by Digit Permutations</a>.
%e A090053 a(1)=105 because the digits of 105 in ascending order are 015 and 105 is divisible by 15. a(24)=3105 because the digits of 3105 in ascending order are 135 and 3105 is divisible by 135.
%Y A090053 Cf. A084687, A090055, A090056.
%K A090053 base,nonn
%O A090053 1,1
%A A090053 _Chuck Seggelin_, Nov 21 2003