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A243542 Numbers n such that the list of divisors of n contains 9 distinct digits (in base 10). 11

%I #5 Apr 25 2016 11:59:32

%S 54,90,114,152,156,162,174,180,204,228,252,280,315,316,340,342,348,

%T 354,356,364,378,390,392,405,408,414,420,456,468,472,474,480,486,490,

%U 510,516,522,532,534,546,552,556,560,564,576,582,584,588,592,594,600,616

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

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

%e 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).

%o (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]

%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

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Last modified April 24 05:26 EDT 2024. Contains 371918 sequences. (Running on oeis4.)