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 n ...

following

359 __NOTOC__ Year 359 ( CCCLIX) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Eusebius and Hypatius (or, less frequently, year 1112 ' ...

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,

180 __NOTOC__ Year 180 ( CLXXX) was a leap year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Rusticus and Condianus (or, less frequently, year 933 '' Ab ...

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 In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Formally, a number ''n'' is said to be colossally abundant if there is an ε > 0 su ...

, a

refactorable number A refactorable number or tau number is an integer ''n'' that is divisible by the count of its divisors, or to put it algebraically, ''n'' is such that \tau(n)\mid n. The first few refactorable numbers are listed in as : 1, 2, 8, 9, 12, 18, ...

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 × ...

. *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 In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In ot ...

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 language ...

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 const ...

is divided into 360

degree Degree may refer to: As a unit of measurement * Degree (angle), a unit of angle measurement ** Degree of geographical latitude ** Degree of geographical longitude * Degree symbol (°), a notation used in science, engineering, and mathematics ...

s 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 RAD or Rad may refer to: People * Robert Anthony Rad Dougall (born 1951), South African former racing driver * Rad Hourani, Canadian fashion designer and artist * Nickname of Leonardus Rad Kortenhorst (1886–1963), Dutch politician * Radley R ...

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 Planimetrics is the study of plane measurements, including angles, distances, and areas. History To measure planimetrics a planimeter or dot planimeter is used. This rather advanced analog technology is being taken over by simple image measurement ...

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 pr ...

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 Freestyle skiing is a skiing discipline comprising aerials, Mogul Skiing, moguls, Ski Cross, cross, Half-pipe skiing, half-pipe, slopestyle and big air as part of the Freestyle skiing at the Winter Olympics, Winter Olympics. It can consist of a ...

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. Ac ...

skateboarding Skateboarding is an extreme sport, action sport originating in the United States that involves riding and performing tricks using a skateboard, as well as a recreational activity, an art form, an entertainment industry Profession, job, and a ...

, BMX, and

acrobatics Acrobatics () is the performance of human feats of balance, agility, and motor coordination. Acrobatic skills are used in performing arts, sporting events, and martial arts. Extensive use of acrobatic skills are most often performed in acro ...

, 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 ball with a bat to score runs and prevent the loss of one's wicket. Any player who is currently batting is, since September 2021, officially referred to as a batter (historically, the ...

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 tea ...

, a player must run about around four bases to score a

run Run(s) or RUN may refer to: Places * Run (island), one of the Banda Islands in Indonesia * Run (stream), a stream in the Dutch province of North Brabant People * Run (rapper), Joseph Simmons, now known as "Reverend Run", from the hip-hop group ...

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. * "360" is shorthand for panoramic photographs and virtual reality worlds, since it is the degree measurement of a circle. *

360 360 may refer to: * 360 (number) * 360 AD, a year * 360 BC, a year * 360 degrees, a circle Businesses and organizations * 360 Architecture, an American architectural design firm * Ngong Ping 360, a tourism project in Lantau Island, Hong Kong * Q ...

is a telephone

area code A telephone numbering plan is a type of numbering scheme used in telecommunication to assign telephone numbers to subscriber telephones or other telephony endpoints. Telephone numbers are the addresses of participants in a telephone network, rea ...

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 range ...

Corporation. * In Islamic history, 360 are the number of idols inside the

Kaaba The Kaaba (, ), also spelled Ka'bah or Kabah, sometimes referred to as al-Kaʿbah al-Musharrafah ( ar, ٱلْكَعْبَة ٱلْمُشَرَّفَة, lit=Honored Ka'bah, links=no, translit=al-Kaʿbah al-Musharrafah), is a building at the c ...

, 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