Number

1,940

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

1,940 (one thousand nine hundred forty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 97. Its proper divisors sum to 2,176, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCMXL and in binary, 11110010100.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,928 1,929 1,930 1,931 1,932 1,933 1,934 1,935 1,936 1,937 1,938 1,939 1,940 1,941 1,942 1,943 1,944 1,945 1,946 1,947 1,948 1,949 1,950 1,951 1,952

less more

Notable events — 1940 AD

May 10 Germany invades the Low Countries; Winston Churchill becomes UK prime minister.
Jun 14 German troops enter Paris; France surrenders eight days later.
Jul 10 The Battle of Britain begins.
Aug 20 Leon Trotsky is fatally attacked with an ice axe in Mexico City.
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

Continued fraction of √n

√1,940 = [44; (22, 88)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.94 × 10³
As a duration: 1,940 s = 32 minutes, 20 seconds

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

Palindromic in base 3

As an angle

1,940° = 5 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

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

Thaana Letter Yaa

U+0794

Other letter (Lo)

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

Lookup U+0794 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,940 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, -30¢)

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.

Look up 1940 on Pi Search ↗