940
940 is a composite number, even, a calendar year.
940 (nine hundred forty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 47. Its proper divisors sum to 1,076, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXL and in binary, 1110101100.
Interestingness
Historical context — 940 AD
Calendar year
Year 940 (CMXL) was a leap year starting on Wednesday of the Julian calendar.
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Historical context — 940 BC
Decade
The 940s BC is a decade that lasted from 949 BC to 940 BC.
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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
-
Friday
January 1, 940
- Ended on
-
Saturday
December 31, 940
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
940s
940–949
- Century
-
10th century
901–1000
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,086
1086 years before 2026.
In other calendars
- Hebrew
-
4700 / 4701 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
328 / 329 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1483 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
318 / 319 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
932 / 933 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
862 / 861 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 5 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√940 = [30; (1, 1, 1, 14, 1, 1, 1, 60)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred forty
- Ordinal
- 940th
- Roman numeral
- CMXL
- Binary
- 1110101100
- Octal
- 1654
- Hexadecimal
- 0x3AC
- Base64
- A6w=
- One's complement
- 64,595 (16-bit)
- Scientific notation
- 9.4 × 10²
- As a duration
- 940 s = 15 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ϡμʹ
- Mayan (base 20)
- 𝋢·𝋧·𝋠
- Chinese
- 九百四十
- Chinese (financial)
- 玖佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 940 = 7
- e — Euler's number (e)
- Digit 940 = 8
- φ — Golden ratio (φ)
- Digit 940 = 1
- √2 — Pythagoras's (√2)
- Digit 940 = 8
- ln 2 — Natural log of 2
- Digit 940 = 3
- γ — Euler-Mascheroni (γ)
- Digit 940 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 940, here are decompositions:
- 3 + 937 = 940
- 11 + 929 = 940
- 29 + 911 = 940
- 53 + 887 = 940
- 59 + 881 = 940
- 83 + 857 = 940
- 101 + 839 = 940
- 113 + 827 = 940
Showing the first eight; more decompositions exist.
UTF-8 encoding: CE AC (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.172.
- Address
- 0.0.3.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.172
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 940 is an active NANP area code (North American Numbering Plan).
- Primary area
- Denton / Wichita Falls
- Region
- Texas
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 940 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A♯5 (932.3 Hz, +14¢)
- Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, -48¢ — about midway to A♯5)
- Baroque pitch (A4 = 415 Hz): B5 (931.6 Hz, +15¢)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.