260 (number)

← 259 260 261 →
← 260 261 262 263 264 265 266 267 268 269 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred sixty
Ordinal	260th; (two hundred sixtieth)
Factorization	22 × 5 × 13
Greek numeral	ΣΞ´
Roman numeral	CCLX
Binary	1000001002
Ternary	1001223
Octal	4048
Duodecimal	19812
Hexadecimal	10416

260 (two hundred [and] sixty) is the natural number following 259 and preceding 261.

It is also the magic constant of the n×n normal magic square and n-queens problem for n = 8, the size of an actual chess board.

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.

260 are the days in Mayan sacred calendar Tzolkin.

260 may also refer to the years AD 260 and 260 BC.

Integers from 261 to 269[]

261[]

261 = 3²·29, lucky number, nonagonal number, Harshad number, unique period in base 2, number of possible unfolded tesseract patterns.

262[]

262 = 2·131, meandric number, open meandric number, untouchable number, happy number, palindrome number, semiprime.

263[]

263 is a prime, safe prime, happy number, sum of five consecutive primes (43 + 47 + 53 + 59 + 61), balanced prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number, Bernoulli irregular prime, Euler irregular prime, Gaussian prime, full reptend prime, Solinas prime, Ramanujan prime.

264[]

264 = 2³·3·11, Harshad number. If you take the sum of all 2-digit numbers you can make from 264, you get 264: 24 + 42 + 26 + 62 + 46 + 64 = 264. 132 and 396 share this property.^[1]

264 equals the sum of the squares of the digits of its own square in base 15. This property is shared with 1, 159, 284, 306 and 387.

265[]

265 = 5·53, semiprime, Padovan number, number of derangements of 6 elements, centered square number, Smith number, subfactorial 6.

266[]

266 = 2·7·19, sphenic number, Harshad number, nontotient, noncototient, self number, repdigit in base 11 (222). 266 is also the index of the largest proper subgroups of the sporadic group known as the Janko group J₁.

267[]

267 = 3·89, semiprime, the number of groups of order 64.^[2] 267 is the smallest number n such that n plus a googol is prime.

268[]

268 = 2²·67, noncototient, untouchable number. 268 is the smallest number whose product of digits is 6 times the sum of its digits.

269[]

269 is a 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, full reptend prime

References[]

^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 138
^ Number of groups of order n

[1] Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 138

[2] Number of groups of order n

[1]

[2]

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