This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A280355 #19 Feb 16 2025 08:33:39 %S A280355 1,2,3,4,5,6,7,8,9,132,312,4112,11133,11313,11331,13113,13131,13311, %T A280355 22112,31113,31131,31311,33111,111216,111612,112116,116112,121116, %U A280355 161112,211116,611112,1111712,11111232,11112132,11112312,11113212,11118112,11121132,11121312,11123112,11131212,11132112 %N A280355 Numbers that are divisible by the sum of their digits and for which the sum of digits equals the product of digits. %H A280355 Chai Wah Wu, <a href="/A280355/b280355.txt">Table of n, a(n) for n = 1..10000</a> %H A280355 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HarshadNumber.html">Harshad Numbers</a> %e A280355 132 is in the sequence because 1 + 3 + 2 = 1*3*2 = 6 and 6 divides 132. %t A280355 Select[Range[11300000], Divisible[#1, (Plus @@ IntegerDigits[#1])] && (Plus @@ IntegerDigits[#1]) == (Times @@ IntegerDigits[#1]) &] %t A280355 nQ[n_]:=With[{idn=IntegerDigits[n]},Mod[n,Total[idn]]==0&&Total[idn]==Times@@idn]; Select[Range[112*10^5],nQ] (* _Harvey P. Dale_, Nov 02 2024 *) %o A280355 (PARI) isok(n) = (d=digits(n)) && ((n % vecsum(d)) == 0) && (vecsum(d) == prod(k=1, #d, d[k])); \\ _Michel Marcus_, Jan 02 2017 %Y A280355 Intersection of A005349 and A034710. %Y A280355 Cf. A038186. %K A280355 nonn,base,easy %O A280355 1,2 %A A280355 _Ilya Gutkovskiy_, Jan 01 2017