Number

940

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

Abundant Number Arithmetic Number Descending Digits Evil Number Happy Number Recamán's Sequence Self Number Semiperfect Number Year

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

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 49
Recamán's sequence: a(631) = 940
Square (n²): 883,600
Cube (n³): 830,584,000
Divisor count: 12
σ(n) — sum of divisors: 2,016
φ(n) — Euler's totient: 368
Sum of prime factors: 56

Primality

Prime factorization: 2 ² × 5 × 47

Nearest primes: 937 (−3) · 941 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 47 · 94 · 188 · 235 · 470 (half) · 940

Aliquot sum (sum of proper divisors): 1,076

Factor pairs (a × b = 940)

1 × 940

2 × 470

4 × 235

5 × 188

10 × 94

20 × 47

First multiples

940 · 1,880 (double) · 2,820 · 3,760 · 4,700 · 5,640 · 6,580 · 7,520 · 8,460 · 9,400

Sums & aliquot sequence

As consecutive integers: 186 + 187 + 188 + 189 + 190 114 + 115 + … + 121 4 + 5 + … + 43

Aliquot sequence: 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 — unresolved within range

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)

In other bases

ternary (3) 1021211

quaternary (4) 32230

quinary (5) 12230

senary (6) 4204

septenary (7) 2512

nonary (9) 1254

undecimal (11) 785

duodecimal (12) 664

tridecimal (13) 574

tetradecimal (14) 4b2

pentadecimal (15) 42a

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

In other modern scripts

Eastern Arabic ٩٤٠ Devanagari ९४० Bengali ৯৪০ Tamil ௯௪௦ Thai ๙๔๐ Tibetan ༩༤༠ Khmer ៩៤០ Lao ໙໔໐ Burmese ၉၄၀

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 decomposition

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.

Unicode codepoint

Greek Small Letter Alpha With Tonos

U+03AC

Lowercase letter (Ll)

UTF-8 encoding: CE AC (2 bytes).

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

Hex color

#0003AC

RGB(0, 3, 172)

IPv4 address

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.

NANP area code 940

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.

Look up area code 940 ↗