# 360 (number)

 ← 359 360 361 →
Cardinal three hundred sixty
Ordinal 360th
(three hundred and sixtieth)
Factorization 23× 32× 5
Divisors 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Roman numeral CCCLX
Binary 1011010002
Ternary 1111003
Quaternary 112204
Quinary 24205
Senary 14006
Octal 5508
Duodecimal 26012
Vigesimal I020
Base 36 A036

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

## In mathematics

• 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 below it.
• A circle is divided into 360 degrees for the purpose of angular measurement. 360° = 2 π rad is also called a round angle. This choice of unit allows round angle to be divided into equal sectors measured in integer degrees rather than fractional degrees. Many angles commonly appearing in planimetrics have integer number of degrees.

## In other fields

• The term "360" (assumed 360°, see above) refers to a trick in certain sports such as Freestyle skiing, Motorcycle stunt riding, ice dancing, and acrobatics, where the athlete rotates in the air a full 360 degrees.
• A year is 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 is a telephone area code for most of Western Washington state (includes Bellingham, Aberdeen, Olympia, 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 is a famous model of electric guitar built by Rickenbacker Corporation.
• Microsoft Xbox 360, a game console released in the second half of 2000s.
• In Islamic history, 360 are the number of idols inside the Caaba, destroyed by The Prophet Muhammad

## References

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