OFFSET
1,1
COMMENTS
There are exactly 921 such numbers with smallest 12495360 and the largest 98765120.
LINKS
Zak Seidov, Table of n, a(n) for n = 1..921 (complete sequence)
MATHEMATICA
se8={}; Do[If[8-Length@Union@IntegerDigits[n]==Mod[Mod[n, 10^3], 24]== Mod[Mod[n, 10^6], 6]==Mod[Mod[n, 10^7], 7]==0, AppendTo[se8, n]], {n, 10000020, 99999999, 20}]; se8
Sort[FromDigits/@Select[Select[Flatten[Permutations/@Subsets[Range[0, 9], {8}], 1], First[#]>0&], And@@Table[Divisible[FromDigits[Take[#, -i]], i], {i, 8}]&]] (* Harvey P. Dale, Aug 19 2013 *)
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
Zak Seidov, Nov 11 2008
STATUS
approved