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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
OFFSET
1,1
COMMENTS
Numbers n such that A037278(n), A176558(n) and A243360(n) contain 9 distinct digits.
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
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
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Jun 19 2014
STATUS
approved