A218290 Multiples of 5 such that the sum of their digits is also a multiple of 5.

5, 50, 55, 140, 145, 190, 195, 230, 235, 280, 285, 320, 325, 370, 375, 410, 415, 460, 465, 500, 505, 550, 555, 640, 645, 690, 695, 730, 735, 780, 785, 820, 825, 870, 875, 910, 915, 960, 965, 1040, 1045, 1090, 1095, 1130, 1135, 1180, 1185, 1220, 1225, 1270

Offset: 1

Author

Bruno Berselli, Oct 25 2012

Keywords

• nonn
• base
• easy

Examples

			145 is a multiple of 5, and its digits, 1, 4, 5, add up to 10, which is also a multiple of 5. [_Alonso del Arte_, Oct 27 2012]
		

Links

• Bruno Berselli, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. multiples of k with digit sum divisible by k: A008585 (k = 3), A008591 (k = 9), A062753 (k = 4), A179082 (k = 2), A216994 (k = 7), A216995 (k = 11), A216997 (k = 8), A218291 (k = 6), A218292 (k = 10).

Programs

Magma

[n: n in [5..1300 by 5] | IsZero(&+Intseq(n) mod 5)];

Mathematica

Select[ Range[5, 1300, 5], Mod[ Total[ IntegerDigits[#]], 5] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)