360 (number)
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360 (three hundred sixty) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...
following 359 and preceding 361.


In mathematics

*The
divisor In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...
s of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90,
120 120 may refer to: *120 (number), the number * AD 120, a year in the 2nd century AD *120 BC, a year in the 2nd century BC *120 film, a film format for still photography * ''120'' (film), a 2008 film * 120 (MBTA bus) * 120 (New Jersey bus) * 120 (Ken ...
, 180 and 360, making a total of 24 divisors. *360 is a
highly composite number __FORCETOC__ A highly composite number is a positive integer with more divisors than any smaller positive integer has. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller ...
. Not only is 360 highly composite, but it is also one of only 7 numbers such that no number less than twice as much has more divisors; the others are 1, 2, 6, 12, 60, and 2520. . 360 is also a superior highly composite number, a colossally abundant number, a refactorable number and a 5-
smooth number In number theory, an ''n''-smooth (or ''n''-friable) number is an integer whose prime factors are all less than or equal to ''n''. For example, a 7-smooth number is a number whose every prime factor is at most 7, so 49 = 72 and 15750 = 2 × 32 à ...
. *360 is the smallest number divisible by every natural number from 1 to 10 except 7. *One of 360's divisors is 72, which is the number of
primes A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
below it. *The sum of Euler's totient function φ(x) over the first thirty-four
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the languag ...
s is 360. *A
circle A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is con ...
is divided into 360 degrees for the purpose of
angular measurement In Euclidean geometry, an angle is the figure formed by two rays, called the '' sides'' of the angle, sharing a common endpoint, called the '' vertex'' of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles a ...
. 360° = 2 π rad is also called a round angle. This choice of unit allows round angle to be divided into equal
sectors Sector may refer to: Places * Sector, West Virginia, U.S. Geometry * Circular sector, the portion of a disc enclosed by two radii and a circular arc * Hyperbolic sector, a region enclosed by two radii and a hyperbolic arc * Spherical sector, a p ...
measured in integer degrees rather than fractional degrees. Many angles commonly appearing in planimetrics have integer number of degrees. *360 is the sum of two
twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin p ...
s (179 + 181). *360 is a Harshad number, given that 9, (the sum of it's digits) is a divisor of 360.


In sports

* The term "360" (assumed 360°, see above) refers to a trick in certain sports such as Freestyle skiing,
Motorcycle stunt riding Motorcycle stunt riding, often referred to as stunting, is a motorcycle sport characterized by stunts involving acrobatic maneuvering of the motorcycle and sometimes the rider. Common maneuvers in stunt riding include wheelies, stoppies, and ...
,
ice dancing Ice dance (sometimes referred to as ice dancing) is a discipline of figure skating that historically draws from ballroom dancing. It joined the World Figure Skating Championships in 1952, and became a Winter Olympic Games medal sport in 1976. A ...
, skateboarding, BMX, and acrobatics, where the athlete rotates in the air a full 360 degrees. In this context, the conventional literation is "three-sixty". * A cricket
batsman In cricket, batting is the act or skill of hitting the cricket ball, ball with a cricket bat, bat to score runs (cricket), runs and prevent the dismissal (cricket), loss of one's wicket. Any player who is currently batting is, since Septembe ...
can hit the ball 360° to score runs. * In
baseball Baseball is a bat-and-ball sport played between two teams of nine players each, taking turns batting and fielding. The game occurs over the course of several plays, with each play generally beginning when a player on the fielding t ...
, a player must run about around four bases to score a run.


In other fields

* A
year A year or annus is the orbital period of a planetary body, for example, the Earth, moving in its orbit around the Sun. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by change in weather, the hou ...
is very roughly calculated as 360 days; see
360-day calendar The 360-day calendar is a method of measuring durations used in financial markets, in computer models, in ancient literature, and in prophetic literary genres. It is based on merging the three major calendar systems into one complex clock, with ...
. * "360" is shorthand for panoramic photographs and virtual reality worlds, since it is the degree measurement of a circle. * 360 is a telephone area code for most of Western
Washington state Washington (), officially the State of Washington, is a state in the Pacific Northwest region of the Western United States. Named for George Washington—the first U.S. president—the state was formed from the western part of the Washington ...
(includes Bellingham, Aberdeen, Olympia, Bremerton, Vancouver, Shelton & Port Townsend but excludes Seattle area, which is area code 206). * 360 is the U.S. Citizenship and Immigration Services I-form Petition for Amerasian, Widow(er), or Special Immigrant. * 360 was an important series of mainframe computers built by IBM. * 360 is a model of electric guitar built by
Rickenbacker Rickenbacker International Corporation is a string instrument manufacturer based in Santa Ana, California. The company is credited as the first known maker of electric guitars – a steel guitar in 1932 – and today produces a rang ...
Corporation. * In Islamic history, 360 are the number of idols inside the Kaaba, destroyed by The Prophet Muhammad


References

* Wells, D. (1987). ''The Penguin Dictionary of Curious and Interesting Numbers'' (p. 152). London: Penguin Group.


External links

* {{Integers, 3 Integers