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A239222
Cubes that are divisible by each of their nonzero digits.
4
1, 8, 216, 1000, 2744, 8000, 13824, 74088, 125000, 216000, 512000, 1000000, 1061208, 2000376, 2299968, 2744000, 4741632, 5832000, 8000000, 8242408, 8489664, 9261000, 10941048, 12812904, 13824000, 14886936, 16003008, 19683000, 34012224, 40001688, 42144192
OFFSET
1,2
COMMENTS
Intersection of A000578 and A002796.
LINKS
FORMULA
a(n) = A239221^(n)^3. - Michel Marcus, Mar 19 2014
EXAMPLE
74088 is in the sequence because 74088 is divisible by 4, 7 and 8.
MATHEMATICA
dedQ[n_]:=And@@Divisible[n, Select[IntegerDigits[n], #>0&]]; Select[ Range[ 400]^3, dedQ] (* Harvey P. Dale, Apr 25 2015 *)
PROG
(PARI) isOK(n) = my(v=vecsort(digits(n^3), , 8)); for(i=1+(v[1]==0), #v, if(n^3%v[i], return(0))); 1
s=[]; for(n=1, 1000, if(isOK(n), s=concat(s, n^3))); s
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Colin Barker, Mar 12 2014
STATUS
approved