A090059 Numbers n divisible by exactly four nontrivial permutations (rearrangements) of the digits of n.

31050, 50490, 70200, 92070, 100035, 100980, 102060, 105000, 108000

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

Table of n, a(n) for n=1..9.

C. Seggelin, Numbers Divisible by Digit Permutations.

Example

a(2)=50490 because 50490 is divisible by 459, 495, 594 and 4590, four nontrivial permutations of 50490.

Crossrefs

Cf. A090055, A090057, A090058, A090060, A090061.

Sequence in context: A236976 A143162 A256747 * A234888 A151815 A331675

Adjacent sequences: A090056 A090057 A090058 * A090060 A090061 A090062

Keyword

nonn,base

Author

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

Status

approved