Number

960

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

960 (nine hundred sixty) is an even 3-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 5. Its proper divisors sum to 2,088, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMLX and in binary, 1111000000.

Abundant Number Descending Digits Evil Number Flippable Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972

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Historical context — 960 AD

Calendar year

Year 960 (CMLX) was a leap year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 960 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Tuesday
January 1, 960
Ended on: Wednesday
December 31, 960
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,066
1066 years before 2026.

In other calendars

Hebrew: 4720 / 4721 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 348 / 349 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1503 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 338 / 339 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 952 / 953 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 882 / 881 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 69
Flips to (rotate 180°): 96
Recamán's sequence: a(671) = 960
Square (n²): 921,600
Cube (n³): 884,736,000
Divisor count: 28
σ(n) — sum of divisors: 3,048
φ(n) — Euler's totient: 256
Sum of prime factors: 20

Primality

Prime factorization: 2 ⁶ × 3 × 5

Nearest primes: 953 (−7) · 967 (+7)

Divisors & multiples

All divisors (28)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 192 · 240 · 320 · 480 (half) · 960

Aliquot sum (sum of proper divisors): 2,088

Factor pairs (a × b = 960)

1 × 960

2 × 480

3 × 320

4 × 240

5 × 192

6 × 160

8 × 120

10 × 96

12 × 80

15 × 64

16 × 60

20 × 48

24 × 40

30 × 32

First multiples

960 · 1,920 (double) · 2,880 · 3,840 · 4,800 · 5,760 · 6,720 · 7,680 · 8,640 · 9,600

Sums & aliquot sequence

As consecutive integers: 319 + 320 + 321 190 + 191 + 192 + 193 + 194 57 + 58 + … + 71

Aliquot sequence: 960 → 2,088 → 3,762 → 5,598 → 6,570 → 10,746 → 13,254 → 13,830 → 19,434 → 20,886 → 21,606 → 25,098 → 26,742 → 26,754 → 40,446 → 63,234 → 77,406 — unresolved within range

Continued fraction of √n

√960 = [30; (1, 60)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty
Ordinal: 960th
Roman numeral: CMLX
Binary: 1111000000
Octal: 1700
Hexadecimal: 0x3C0
Base64: A8A=
One's complement: 64,575 (16-bit)
Scientific notation: 9.6 × 10²
As a duration: 960 s = 16 minutes

In other bases

ternary (3) 1022120

quaternary (4) 33000

quinary (5) 12320

senary (6) 4240

septenary (7) 2541

nonary (9) 1276

undecimal (11) 7a3

duodecimal (12) 680

tridecimal (13) 58b

tetradecimal (14) 4c8

pentadecimal (15) 440

As an angle

960° = 2 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ϡξʹ
Mayan (base 20): 𝋢·𝋨·𝋠
Chinese: 九百六十
Chinese (financial): 玖佰陸拾

In other modern scripts

Eastern Arabic ٩٦٠ Devanagari ९६० Bengali ৯৬০ Tamil ௯௬௦ Thai ๙๖๐ Tibetan ༩༦༠ Khmer ៩៦០ Lao ໙໖໐ Burmese ၉၆၀

Digit at this position in famous constants

π — Pi (π): Digit 960 = 3
e — Euler's number (e): Digit 960 = 0
φ — Golden ratio (φ): Digit 960 = 2
√2 — Pythagoras's (√2): Digit 960 = 9
ln 2 — Natural log of 2: Digit 960 = 2
γ — Euler-Mascheroni (γ): Digit 960 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960, here are decompositions:

7 + 953 = 960
13 + 947 = 960
19 + 941 = 960
23 + 937 = 960
31 + 929 = 960
41 + 919 = 960
53 + 907 = 960
73 + 887 = 960

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Pi

U+03C0

Lowercase letter (Ll)

UTF-8 encoding: CF 80 (2 bytes).

Lookup U+03C0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C0

RGB(0, 3, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.192.

Address: 0.0.3.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.192

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 960 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -49¢ — about midway to A♯5)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, -12¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -48¢ — about midway to B5)

Food additive (E-number)

On an ingredients label, E960 is Steviol glycosides, a glazing agent, gas or sweetener — stevia.

E-number reference (Wikipedia) ↗