A090060 Numbers n divisible by exactly five nontrivial permutations (rearrangements) of the digits of n.

40500, 81000, 98010, 105300

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

			98010 is a term because 98010 is divisible by 198, 891, 1089, 8910 and 10890, five nontrivial permutations of 98010.
		

Links

• Chuck Seggelin, Numbers Divisible by Digit Permutations.

Crossrefs

Cf. A090055, A090057, A090058, A090059, A090061.