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Number

1,940

1,940 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number Year

Notable events — 1940 AD

  1. May 10 Germany invades the Low Countries; Winston Churchill becomes UK prime minister.
  2. Jun 14 German troops enter Paris; France surrenders eight days later.
  3. Jul 10 The Battle of Britain begins.
  4. Aug 20 Leon Trotsky is fatally attacked with an ice axe in Mexico City.
  5. Sep 27 Germany, Italy, and Japan sign the Tripartite Pact, forming the Axis.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Monday
January 1, 1940
Ended on
Tuesday
December 31, 1940
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 24
Sunday, March 24, 1940
Decade
1940s
1940–1949
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
86
86 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew
5700 / 5701 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1358 / 1359 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2483 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1318 / 1319 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1932 / 1933 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1862 / 1861 Saka
Indian national calendar; year starts in March.
Japanese
Shōwa 15
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
491
Recamán's sequence
a(523) = 1,940
Square (n²)
3,763,600
Cube (n³)
7,301,384,000
Divisor count
12
σ(n) — sum of divisors
4,116
φ(n) — Euler's totient
768
Sum of prime factors
106

Primality

Prime factorization: 2 2 × 5 × 97

Nearest primes: 1,933 (−7) · 1,949 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 97 · 194 · 388 · 485 · 970 (half) · 1940
Aliquot sum (sum of proper divisors): 2,176
Factor pairs (a × b = 1,940)
1 × 1940
2 × 970
4 × 485
5 × 388
10 × 194
20 × 97
First multiples
1,940 · 3,880 (double) · 5,820 · 7,760 · 9,700 · 11,640 · 13,580 · 15,520 · 17,460 · 19,400

Sums & aliquot sequence

As a sum of two squares: 2² + 44² = 28² + 34²
As consecutive integers: 386 + 387 + 388 + 389 + 390 239 + 240 + … + 246 29 + 30 + … + 68
Aliquot sequence: 1,940 2,176 2,414 1,474 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand nine hundred forty
Ordinal
1940th
Roman numeral
MCMXL
Binary
11110010100
Octal
3624
Hexadecimal
0x794
Base64
B5Q=
One's complement
63,595 (16-bit)
In other bases
ternary (3) 2122212
quaternary (4) 132110
quinary (5) 30230
senary (6) 12552
septenary (7) 5441
nonary (9) 2585
undecimal (11) 1504
duodecimal (12) 1158
tridecimal (13) b63
tetradecimal (14) 9c8
pentadecimal (15) 895

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αϡμʹ
Mayan (base 20)
𝋤·𝋱·𝋠
Chinese
一千九百四十
Chinese (financial)
壹仟玖佰肆拾
In other modern scripts
Eastern Arabic ١٩٤٠ Devanagari १९४० Bengali ১৯৪০ Tamil ௧௯௪௦ Thai ๑๙๔๐ Tibetan ༡༩༤༠ Khmer ១៩៤០ Lao ໑໙໔໐ Burmese ၁၉၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,940 = 3
e — Euler's number (e)
Digit 1,940 = 0
φ — Golden ratio (φ)
Digit 1,940 = 3
√2 — Pythagoras's (√2)
Digit 1,940 = 1
ln 2 — Natural log of 2
Digit 1,940 = 7
γ — Euler-Mascheroni (γ)
Digit 1,940 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1940, here are decompositions:

  • 7 + 1933 = 1940
  • 61 + 1879 = 1940
  • 67 + 1873 = 1940
  • 73 + 1867 = 1940
  • 79 + 1861 = 1940
  • 109 + 1831 = 1940
  • 139 + 1801 = 1940
  • 151 + 1789 = 1940

Showing the first eight; more decompositions exist.

Unicode codepoint
ޔ
Thaana Letter Yaa
U+0794
Other letter (Lo)

UTF-8 encoding: DE 94 (2 bytes).

Hex color
#000794
RGB(0, 7, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.148.

Address
0.0.7.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.148

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

Position in π

The digit sequence 1940 first appears in π at position 28,162 of the decimal expansion (the 28,162ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.