A243540 Numbers n such that the list of divisors of n contains 7 distinct digits (in base 10).

36, 56, 60, 68, 70, 78, 80, 84, 96, 112, 116, 135, 136, 138, 150, 172, 184, 189, 190, 192, 196, 207, 212, 225, 230, 238, 243, 245, 256, 260, 261, 267, 268, 272, 285, 290, 292, 344, 345, 350, 358, 368, 384, 387, 388, 396, 400, 402, 418, 441, 444, 455, 459, 462

Offset

1,1

Comments

Numbers n such that A037278(n), A176558(n) and A243360(n) contain 7 distinct digits.

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Example

36 is in sequence because the list of divisors of 36: (1, 2, 3, 4, 6, 9, 12, 18, 36) contains 7 distinct digits (1, 2, 3, 4, 6, 8, 9).

Prog

(Excel) [Row n = 1...10000; Column A: A(n) = A095048(n); Column B: B(n) = IF(A(n)=7; 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: A188243 A335104 A242343 * A336384 A124941 A116321

Adjacent sequences: A243537 A243538 A243539 * A243541 A243542 A243543

Keyword

nonn,base

Author

Jaroslav Krizek, Jun 19 2014

Status

approved