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.
Template:Numbers 200s | |
Cardinal | Two hundred [and] sixty |
Ordinal | 260th |
Factorization | |
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