Number

360

360 — Degrees in a Circle

360 is a composite number, even, a calendar year.

Three hundred sixty is the number of degrees in a full turn. The Babylonians chose it because it is divisible by every integer from 1 to 10 except 7.

Sources https://en.wikipedia.org/wiki/360_(number)

Abundant Number Curated Harshad / Niven

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digital root: 9
Palindrome: No
Divisor count: 24
σ(n) — sum of divisors: 1,170

Primality

Prime factorization: 2 ³ × 3 ² × 5

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 60 · 72 · 90 · 120 · 180 · 360

Aliquot sum (sum of proper divisors): 810

Factor pairs (a × b = 360)

1 × 360

2 × 180

3 × 120

4 × 90

5 × 72

6 × 60

8 × 45

9 × 40

10 × 36

12 × 30

15 × 24

18 × 20

First multiples

360 · 720 · 1,080 · 1,440 · 1,800 · 2,160 · 2,520 · 2,880 · 3,240 · 3,600

Representations

In words: three hundred sixty
Ordinal: 360th
Roman numeral: CCCLX
Binary: 101101000
Octal: 550
Hexadecimal: 168

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 360, here are decompositions:

7 + 353 = 360
11 + 349 = 360
13 + 347 = 360
23 + 337 = 360
29 + 331 = 360
43 + 317 = 360
47 + 313 = 360
53 + 307 = 360

Showing the first eight; more decompositions exist.

Unicode codepoint

U+0168

Uppercase letter (Lu)

UTF-8 encoding: C5 A8 (2 bytes).

Lookup U+0168 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000168

RGB(0, 1, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.104.