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A090058 Numbers n divisible by exactly three nontrivial permutations (rearrangements) of the digits of n. 4
4050, 8100, 10500, 10530, 10800, 34020, 51000, 54000, 60912, 68040, 70300, 80190, 95040, 100100, 100500, 100800, 102000, 105030 (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
EXAMPLE
60912 is a term because 60912 is divisible by 1269, 1296 and 1692, three nontrivial permutations of 60912.
CROSSREFS
Sequence in context: A252809 A202313 A001382 * A251032 A035782 A108006
KEYWORD
nonn,base,more
AUTHOR
Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003
STATUS
approved

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Last modified July 16 08:10 EDT 2024. Contains 374345 sequences. (Running on oeis4.)