360 (number)

360 (three hundred [and] sixty) is the natural number following 359 and preceding 361.

A turn is divided into 360 degrees for angular measurement. 360° = 2π rad is also called a round angle. This unit choice divides round angles into equal sectors measured in integer rather than fractional degrees. Many angles commonly appearing in planimetrics have an integer number of degrees. For a simple non-intersecting polygon, the sum of the internal angles of a quadrilateral always equals 360 degrees.

${\displaystyle 361=19^{2},}$ centered triangular number, centered octagonal number, centered decagonal number, member of the Mian–Chowla sequence. There are also 361 positions on a standard 19 × 19 Go board.

${\displaystyle 362=2\times 181=\sigma _{2}(19)}$: sum of squares of divisors of 19, Mertens function returns 0, nontotient, noncototient.

${\displaystyle 364=2^{2}\times 7\times 13}$, tetrahedral number, sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0, nontotient.

It is a repdigit in bases three (111111), nine (444), twenty-five (EE), twenty-seven (DD), fifty-one (77), and ninety (44); the sum of six consecutive powers of three (1 + 3 + 9 + 27 + 81 + 243); and the twelfth non-zero tetrahedral number.

365 is the amount of days in a common year. For the common year, see common year.

${\displaystyle 366=2\times 3\times 61,}$ sphenic number, Mertens function returns 0, noncototient, number of complete partitions of 20, 26-gonal and 123-gonal. There are also 366 days in a leap year.