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Number

960

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

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

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 · English fallback 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 · English fallback 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

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)
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

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
π
Greek Small Letter Pi
U+03C0
Lowercase letter (Ll)

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

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.