360 (number)

← 359 361 → 360
← 300 310 320 330 340 350 360 370 380 390 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred [and] sixty
Ordinal	360th (three hundred [and] sixtieth)
Factorization
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
Octal	5508
Duodecimal	26012
Hexadecimal	16816
Vigesimal:

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

[edit] In mathematics

• Divisors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360. (A total of 24 divisors.)

• 360 makes a highly composite number. Not only is 360 highly composite, but also no number less than twice as much has more divisors. 360 is also a superior highly composite number and a colossally abundant number.

• 360 is the smallest number divisible by every number from 1 to 10 except 7.

• One of 360's divisors is 72, which is the number of primes below it.

• The sum of Euler's totient function φ(x) over the first thirty-four integers is 360.

• A circle is divided into 360 degrees for the purpose of angular measurement. 360° is also called round angle.

360 is a convenient standard since, 360 being highly composite, it allows a circle to be divided into equal segments with each segment measured in integer degrees rather than fractional degrees.

• 360° = 2 π rad

• 360 is the sum of a twin prime (179 + 181).

[edit] In other fields

• 360° is a full rotation; the term "360" refers to a trick in certain sports 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.
• For the year AD 360, see 360.
• Anderson Cooper 360° is a CNN television news program.
• System/360 is a computing architecture from IBM.
• Circle-Vision 360°.
• Yahoo! 360° is Yahoo!'s blogging platform.
• 360 is a famous model of electric guitar built by Rickenbacker Corporation.
• 360-degree feedback is a process in company performance reviews of soliciting opinions from a wider range of sources.
• 360 Architecture is an architectural design firm based out of Kansas City, Missouri
• The Ferrari 360 Modena is a production car from the Italian automaker Ferrari.
• The Subaru 360 was the first production car from the Japanese automaker Subaru.
• The Xbox 360 is a video game console by Microsoft.
• 360 (magazine) is a magazine by Imagine Publishing covering the Xbox 360.

[edit] References

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