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A038367
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Numbers n with property that (product of digits of n) is divisible by (sum of digits of n).
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7
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 22, 30, 36, 40, 44, 50, 60, 63, 66, 70, 80, 88, 90, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 120, 123, 130, 132, 138, 140, 145, 150, 154, 159, 160, 167, 170, 176, 180, 183, 189, 190, 195, 198, 200, 201, 202, 203
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listen;
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OFFSET
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1,2
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COMMENTS
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Equal to the disjoint union of A061013 and A011540 \ {0}. Contains in particular all positive single-digit integers, those with a digit 0, and 22*{1,...,18}. If x is in the sequence, any digit-permutation of x is also in the sequence. - M. F. Hasler, Feb 28 2018
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LINKS
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MAPLE
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isA038367 := proc(n)
true;
else
false;
end if;
end proc :
for n from 1 to 500 do
if isA038367(n) then
printf("%d, ", n) ;
end if;
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MATHEMATICA
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okQ[n_]:=Module[{idn=IntegerDigits[n]}, Divisible[Times@@idn, Total[idn]]]
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PROG
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(Magma) [0] cat [n: n in [1..250] | IsIntegral(&*Intseq(n)/&+Intseq(n))]; // Bruno Berselli, Feb 09 2016
(PARI) is(n)=n&&prod(i=1, #n=digits(n), n[i])%vecsum(n)==0 \\ M. F. Hasler, Feb 28 2018
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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EXTENSIONS
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Corrected by Vladeta Jovovic and Larry Reeves (larryr(AT)acm.org), Jun 08 2001
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STATUS
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approved
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