260 (number)

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259 260 261
Cardinal two hundred sixty
Ordinal 260th
(two hundred and sixtieth)
Factorization 22× 5 × 13
Roman numeral CCLX
Binary 1000001002
Ternary 1001223
Quaternary 100104
Quinary 20205
Senary 11126
Octal 4048
Duodecimal 19812
Hexadecimal 10416
Vigesimal D020
Base 36 7836

260 (two hundred [and] sixty) is 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 may also refer to the years AD 260 and 260 BC.

261–269[edit]

261 = 32·29, nonagonal number, Harshad number, number of possible unfolded tesseract patterns


262 = 2·131, meandric number, open meandric number, untouchable number


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


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]


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


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 = 3·89, the number of groups of order 64, see [1].

267: Area code for Pennsylvania, USA (Philadelphia area including its suburbs in eastern Montgomery County and most of Bucks County, overlays with 215)


268 = 22·67, noncototient, untouchable number


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

References[edit]

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