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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 29 23:37 EST 2020. Contains 338780 sequences. (Running on oeis4.)