

A243542


Numbers n such that the list of divisors of n contains 9 distinct digits (in base 10).


11



54, 90, 114, 152, 156, 162, 174, 180, 204, 228, 252, 280, 315, 316, 340, 342, 348, 354, 356, 364, 378, 390, 392, 405, 408, 414, 420, 456, 468, 472, 474, 480, 486, 490, 510, 516, 522, 532, 534, 546, 552, 556, 560, 564, 576, 582, 584, 588, 592, 594, 600, 616
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OFFSET

1,1


COMMENTS

Numbers n such that A037278(n), A176558(n) and A243360(n) contain 9 distinct digits.


LINKS

Table of n, a(n) for n=1..52.


EXAMPLE

54 is in sequence because the list of divisors of 54: (1, 2, 3, 6, 9, 18, 27, 54) contains 9 distinct digits (1, 2, 3, 4, 5, 6, 7, 8, 9).


PROG

(Excel) [Row n = 1 …10000; Column A: A(n) = A095048(n); Column B: B(n) = IF(A(n)=9; A(n)); Arrangement of column B]


CROSSREFS

Cf. A095048, A037278, A176558, A243360.
Sequences of numbers n such that the list of divisors of n contains k distinct digits for 1 <= k <= 10: k = 1: A243534; k = 2: A243535; k = 3: A243536; k = 4: A243537; k = 5: A243538; k = 6: A243539; k = 7: A243540; k = 8: A243541; k = 9: A243542; k = 10: A095050.
Cf. A243543 (the smallest number m whose list of divisors contains n distinct digits).
Sequence in context: A043965 A180150 A096512 * A290146 A071863 A045933
Adjacent sequences: A243539 A243540 A243541 * A243543 A243544 A243545


KEYWORD

nonn,base


AUTHOR

Jaroslav Krizek, Jun 19 2014


STATUS

approved



