

A090059


Numbers n divisible by exactly four nontrivial permutations (rearrangements) of the digits of n.


4




OFFSET

1,1


COMMENTS

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



EXAMPLE

50490 is a term because 50490 is divisible by 459, 495, 594 and 4590, four nontrivial permutations of 50490.


CROSSREFS



KEYWORD

nonn,base,more


AUTHOR

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


STATUS

approved



