A249766 Numbers n = concat(s,t) such that s and t divide n.

11, 12, 15, 22, 24, 33, 36, 44, 48, 55, 66, 77, 88, 99, 101, 102, 104, 105, 110, 120, 125, 150, 202, 204, 208, 210, 220, 240, 250, 303, 306, 312, 315, 330, 360, 375, 404, 408, 416, 420, 440, 480, 505, 510, 520, 525, 550, 606, 612, 624, 630, 660, 707, 714, 728

Offset: 1

Author

Paolo P. Lava, Nov 05 2014

Keywords

• nonn
• base

Comments

Subset of A038770 and A139138.

Examples

			306 = concat(3, 06) and 306 / 3 = 102 and 306 / 6 = 51.
76152 = concat(76, 152) and 76152 / 76 = 1002 and 76152 / 152 = 501.
		

Links

• Paolo P. Lava, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A038770, A139138.

Programs

Maple

with(numtheory):P:=proc(q) local a,b,k,n;
for n from 1 to q do for k from 1 to ilog10(n) do a:=n mod 10^k; b:=trunc(n/10^k);
if a*b>0 then if type(n/a,integer) and type(n/b,integer) then print(n); break;
fi; fi; od; od; end: P(10^6);