A062753 -id:A062753 - cp's OEIS frontend

A218292 Multiples of 10 such that the sum of their digits is also a multiple of 10.

190, 280, 370, 460, 550, 640, 730, 820, 910, 1090, 1180, 1270, 1360, 1450, 1540, 1630, 1720, 1810, 1900, 2080, 2170, 2260, 2350, 2440, 2530, 2620, 2710, 2800, 2990, 3070, 3160, 3250, 3340, 3430, 3520, 3610, 3700, 3890, 3980, 4060, 4150, 4240, 4330, 4420, 4510

Offset: 1

Bruno Berselli, Oct 25 2012

			a(38) = 3890 is a multiple of 10, and 3+8+9+0=20 is also a multiple of 10.

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

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), A218290 (k=5), A218291 (k=6).

[n: n in [10..4600 by 10] | IsZero(&+Intseq(n) mod 10)];

Select[ Range[10, 4600, 10], Mod[ Total[ IntegerDigits[#]], 10] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)

a(n) = 10*A094677(n).

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

Original entry on oeis.org

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

Bruno Berselli, Oct 25 2012

			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]

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

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).

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

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

A218291 Multiples of 6 such that the sum of their digits is also a multiple of 6.

Original entry on oeis.org

6, 24, 42, 48, 60, 66, 84, 114, 132, 138, 150, 156, 174, 192, 198, 204, 222, 228, 240, 246, 264, 282, 288, 312, 318, 330, 336, 354, 372, 378, 390, 396, 402, 408, 420, 426, 444, 462, 468, 480, 486, 510, 516, 534, 552, 558, 570, 576, 594, 600, 606, 624, 642, 648

Offset: 1

Bruno Berselli, Oct 25 2012

			48 is a multiple of 6, and 4+8=12 is also a multiple of 6.

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

Subsequence of A179082.

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), A218290 (k=5), A218292 (k=10).

[n: n in [6..700 by 6] | IsZero(&+Intseq(n) mod 6)];

Select[ Range[6, 700, 6], Mod[ Total[ IntegerDigits[#]], 6] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)

cp's OEIS Frontend

A218292 Multiples of 10 such that the sum of their digits is also a multiple of 10.

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

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A218291 Multiples of 6 such that the sum of their digits is also a multiple of 6.

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Magma

Mathematica