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Numbers n such that the list of divisors of n contains 7 distinct digits (in base 10).
11

%I #8 Nov 16 2022 13:31:28

%S 36,56,60,68,70,78,80,84,96,112,116,135,136,138,150,172,184,189,190,

%T 192,196,207,212,225,230,238,243,245,256,260,261,267,268,272,285,290,

%U 292,344,345,350,358,368,384,387,388,396,400,402,418,441,444,455,459,462

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

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

%H David A. Corneth, <a href="/A243540/b243540.txt">Table of n, a(n) for n = 1..10000</a>

%e 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).

%o (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]

%Y Cf. A095048, A037278, A176558, A243360.

%Y 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.

%Y Cf. A243543 (the smallest number m whose list of divisors contains n distinct digits).

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Jun 19 2014