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Zeroless "magic" numbers.
1

%I #21 Sep 02 2019 18:07:30

%S 1,2,3,4,5,6,7,8,9,12,14,16,18,22,24,26,28,32,34,36,38,42,44,46,48,52,

%T 54,56,58,62,64,66,68,72,74,76,78,82,84,86,88,92,94,96,98,123,126,129,

%U 141,144,147,162,165,168,183,186,189,222,225,228,243,246,249,261,264,267,282,285

%N Zeroless "magic" numbers.

%C Intersection of A052382 and A144688.

%C The 2157th and largest term is the 9-digit number 987654564.

%H Seiichi Manyama, <a href="/A324022/b324022.txt">Table of n, a(n) for n = 1..2157</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polydivisible_number">Polydivisible number</a>

%e 98 = 2 * 49,

%e 987 = 3 * 329,

%e 9876 = 4 * 2469,

%e 98765 = 5 * 19753,

%e 987654 = 6 * 164609,

%e 9876545 = 7 * 1410935,

%e 98765456 = 8 * 12345682,

%e 987654564 = 9 * 109739396.

%e So 987654564 is a term.

%Y Cf. A052382, A144688, A324019, A324020.

%K nonn,base,fini,full

%O 1,2

%A _Seiichi Manyama_, Sep 01 2019