260 (number)

Encyclopedia : 2 : 26 : 260 : 260 (number)

260 (two hundred [and] sixty) is the magic constant of the n×n magic square and n-Queens Problem for n = 8, the size of an actual chess board.

List of numbers — Integers
200 210 220 230 240 250 260 270 280 290 >>

Cardinal Two hundred [and] sixty
Ordinal 260th
Factorization [260 = 2^2 \cdot 5 \cdot 13]
Roman numeral CCLX
Binary 100000100
Hexadecimal 104

260 is also the magic constant of the Franklin magic square devised by Benjamin Franklin.

52 61 4 13 20 29 36 45
14 3 62 51 46 35 30 19
53 60 5 12 21 28 37 44
11 6 59 54 43 38 27 22
55 58 7 10 23 26 39 42
9 8 57 56 41 40 25 24
50 63 2 15 18 31 34 47
16 1 64 49 48 33 32 17

The minor diagonal gives 260, and in addition a number of combinations of two half diagonals of four numbers from a corner to the center give 260.

In other fields

260 is also:

Given a 4 by 4 chessboard, there are only 260 ways to place six non-attacking bishops.
The year AD 260 and 260 BC.
The number of days in a Mayan calendar Tzolkin

Other numbers from 261 to 269

Two hundred [and] sixty-one 261 = 3²·29, nonagonal number, Harshad number

Two hundred [and] sixty-two 262 = 2·131, meandric number, open meandric number, untouchable number

Two hundred [and] sixty-three 263 prime, safe prime, sum of five consecutive primes (43 + 47 + 53 + 59 + 61), balanced prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number

Two hundred [and] sixty-four 264 = 2³·3·11, Harshad number

Two hundred [and] sixty-five 265 = 5·53, Padovan number, centered square number, Smith number

Two hundred [and] sixty-six 266 = 2·7·19, sphenic number, Harshad number, nontotient, noncototient, self number, repdigit in base 11 (222).

Two hundred [and] sixty-seven 267 = 3·89

Two hundred [and] sixty-eight 268 = 2²·67, noncototient, untouchable number

Two hundred [and] sixty-nine 269 prime, twin prime with 271, sum of three consecutive primes (83 + 89 + 97), Chen prime, Eisenstein prime with no imaginary part, highly cototient number, strictly non-palindromic number

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List of numbers — Integers 200 210 220 230 240 250 260 270 280 290 >>
Cardinal	Two hundred [and] sixty
Ordinal	260th
Factorization	[260 = 2^2 \cdot 5 \cdot 13]
Roman numeral	CCLX
Binary	100000100
Hexadecimal	104

52	61	4	13	20	29	36	45
14	3	62	51	46	35	30	19
53	60	5	12	21	28	37	44
11	6	59	54	43	38	27	22
55	58	7	10	23	26	39	42
9	8	57	56	41	40	25	24
50	63	2	15	18	31	34	47
16	1	64	49	48	33	32	17

52	61	4	13	20	29	36	45
14	3	62	51	46	35	30	19
53	60	5	12	21	28	37	44
11	6	59	54	43	38	27	22
55	58	7	10	23	26	39	42
9	8	57	56	41	40	25	24
50	63	2	15	18	31	34	47
16	1	64	49	48	33	32	17

52	61	4	13	20	29	36	45
14	3	62	51	46	35	30	19
53	60	5	12	21	28	37	44
11	6	59	54	43	38	27	22
55	58	7	10	23	26	39	42
9	8	57	56	41	40	25	24
50	63	2	15	18	31	34	47
16	1	64	49	48	33	32	17