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A212499 Numbers n such that n divides the product of digits of n. 1

%I

%S 1,2,3,4,5,6,7,8,9,10,20,30,40,50,60,70,80,90,100,101,102,103,104,105,

%T 106,107,108,109,110,120,130,140,150,160,170,180,190,200,201,202,203,

%U 204,205,206,207,208,209,210,220,230,240,250,260,270,280,290,300,301

%N Numbers n such that n divides the product of digits of n.

%C Every integer except zero divides zero.

%C a(n+9) = A011540(n+1).

%C A050720(2*n) = number of terms of length n for n >= 2.

%H Arkadiusz Wesolowski, <a href="/A212499/b212499.txt">Table of n, a(n) for n = 1..1000</a>

%t Union[Range[9], Select[Range[10, 301], DigitCount[#, 10, 0] > 0 &]]

%t Select[Range[301], Divisible[Product[i, {i, IntegerDigits[#]}], #] &]

%Y Cf. A049101.

%K base,easy,nonn

%O 1,2

%A _Arkadiusz Wesolowski_, May 19 2012

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Last modified September 27 12:30 EDT 2020. Contains 337380 sequences. (Running on oeis4.)