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A090057 Numbers n divisible by exactly two nontrivial permutations (rearrangements) of the digits of n. 5
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 21 21:51 EDT 2021. Contains 348155 sequences. (Running on oeis4.)