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

Author

Chuck Seggelin, Nov 21 2003

Keywords

• nonn
• base
• more

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.

Examples

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

Links

• Chuck Seggelin, Numbers Divisible by Digit Permutations.

Crossrefs

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