A090058 Numbers n divisible by exactly three nontrivial permutations (rearrangements) of the digits of n.

4050, 8100, 10500, 10530, 10800, 34020, 51000, 54000, 60912, 68040, 70300, 80190, 95040, 100100, 100500, 100800, 102000, 105030

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

			60912 is a term because 60912 is divisible by 1269, 1296 and 1692, three nontrivial permutations of 60912.
		

Links

• Chuck Seggelin, Numbers Divisible by Digit Permutations.

Crossrefs

Cf. A090055, A090057, A090059, A090060, A090061.