A249765 Numbers that divide the concatenation, in descending order, of their anti-divisors.
7, 23957, 56483, 74651, 316782, 13594764, 14473747, 30056837
Offset: 1
Examples
Anti-divisors of 7 are and 2, 3, 5 and their concatenation in descending order is 532. Finally, 532 / 7 = 76.
Programs
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Maple
P:=proc(q) local a,k,n; for n from 3 to q do a:=0; for k from n-1 by -1 to 2 do if abs((n mod k)-k/2)<1 then a:=a*10^(ilog10(k)+1)+k; fi; od; if type(a/n,integer) then print(n); fi; od; end: P(10^9);
Extensions
a(5)-a(8) from Chai Wah Wu, Nov 21 2014