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A133598 Numbers n with all digits different, such that none of its digits divide n, but all digits not in n do divide n. 2

%I

%S 5936,45798,45978,47598,47958,49578,49758,54798,57894,58794,58974,

%T 59478,59836,59874,74598,74958,75498,78594,78954,79458,79854,85794,

%U 87594,87954,89574,94578,94758,95478,95874,97458,97854,98754,346598,358694

%N Numbers n with all digits different, such that none of its digits divide n, but all digits not in n do divide n.

%D Rodolfo Kurchan, Snark, December 2007

%H Rodolfo Kurchan, Dec 27 2007, <a href="/A133598/b133598.txt">Table of n, a(n) for n = 1..100</a>

%e 5936 is because 5936 is not divisible by 3, 5, 6 or 9 and is divisible by 1, 2, 4, 7 and 8.

%t addQ[n_]:=Module[{idn=IntegerDigits[n]},FreeQ[idn,0]&&Max[DigitCount[ n]] == 1&&Union[Divisible[n,idn]]=={False}&&And@@Divisible[n,Complement[ Range[ 9],idn]]]; Select[Range[400000],addQ] (* _Harvey P. Dale_, Oct 25 2017 *)

%Y Cf. A133606.

%K nonn,base

%O 1,1

%A _Rodolfo Kurchan_, Dec 27 2007

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Last modified October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)