A090057 Numbers n divisible by exactly two nontrivial permutations (rearrangements) of the digits of n.

1050, 1080, 3105, 5100, 5400, 7020, 7030, 9207, 9801, 10010, 10050, 10080, 10098, 10200, 10206, 20020, 20160, 20250, 20304, 20400, 20500, 20790, 21000, 21060, 30015, 30030, 30105, 30240, 30420, 30450, 30600, 35100, 40040, 40050

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..34.

C. Seggelin, Numbers Divisible by Digit Permutations.

Example

a(3)=3105 because 3105 is divisible by both 135 and 1035, two nontrivial permutations of 3105. a(8)=9207 because 9207 is divisible by both 279 and 297, two nontrivial permutations of 9207.

Crossrefs

Cf. A090055, A090058, A090059, A090060, A090061.

Sequence in context: A030083 A184203 A015064 * A287173 A204753 A252391

Adjacent sequences: A090054 A090055 A090056 * A090058 A090059 A090060

Keyword

nonn,base

Author

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

Status

approved