Number

1,400

1,400 is a composite number, even, a calendar year.

1,400 (one thousand four hundred) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 7. Its proper divisors sum to 2,320, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCD and in binary, 10101111000.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,388 1,389 1,390 1,391 1,392 1,393 1,394 1,395 1,396 1,397 1,398 1,399 1,400 1,401 1,402 1,403 1,404 1,405 1,406 1,407 1,408 1,409 1,410 1,411 1,412

less more

Notable events — 1400 AD

Sep 16 Owain Glyndŵr launches the Welsh revolt against English rule.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 1400
Ended on: Wednesday
December 31, 1400
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1400s
1400–1409
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 626
626 years before 2026.

In other calendars

Hebrew: 5160 / 5161 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 802 / 803 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: 1943 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 778 / 779 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1392 / 1393 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1322 / 1321 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 41
Recamán's sequence: a(8,328) = 1,400
Square (n²): 1,960,000
Cube (n³): 2,744,000,000
Divisor count: 24
σ(n) — sum of divisors: 3,720
φ(n) — Euler's totient: 480
Sum of prime factors: 23

Primality

Prime factorization: 2 ³ × 5 ² × 7

Nearest primes: 1,399 (−1) · 1,409 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 100 · 140 · 175 · 200 · 280 · 350 · 700 (half) · 1400

Aliquot sum (sum of proper divisors): 2,320

Factor pairs (a × b = 1,400)

1 × 1400

2 × 700

4 × 350

5 × 280

7 × 200

8 × 175

10 × 140

14 × 100

20 × 70

25 × 56

28 × 50

35 × 40

First multiples

1,400 · 2,800 (double) · 4,200 · 5,600 · 7,000 · 8,400 · 9,800 · 11,200 · 12,600 · 14,000

Sums & aliquot sequence

As consecutive integers: 278 + 279 + 280 + 281 + 282 197 + 198 + … + 203 80 + 81 + … + 95 44 + 45 + … + 68

Aliquot sequence: 1,400 → 2,320 → 3,260 → 3,628 → 2,728 → 3,032 → 2,668 → 2,372 → 1,786 → 1,094 → 550 → 566 → 286 → 218 → 112 → 136 → 134 — unresolved within range

Continued fraction of √n

√1,400 = [37; (2, 2, 2, 74)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred
Ordinal: 1400th
Roman numeral: MCD
Binary: 10101111000
Octal: 2570
Hexadecimal: 0x578
Base64: BXg=
One's complement: 64,135 (16-bit)
Scientific notation: 1.4 × 10³
As a duration: 1,400 s = 23 minutes, 20 seconds

In other bases

ternary (3) 1220212

quaternary (4) 111320

quinary (5) 21100

senary (6) 10252

septenary (7) 4040

nonary (9) 1825

undecimal (11) 1063

duodecimal (12) 988

tridecimal (13) 839

tetradecimal (14) 720

pentadecimal (15) 635

As an angle

1,400° = 3 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵αυʹ
Mayan (base 20): 𝋣·𝋪·𝋠
Chinese: 一千四百
Chinese (financial): 壹仟肆佰

In other modern scripts

Eastern Arabic ١٤٠٠ Devanagari १४०० Bengali ১৪০০ Tamil ௧௪௦௦ Thai ๑๔๐๐ Tibetan ༡༤༠༠ Khmer ១៤០០ Lao ໑໔໐໐ Burmese ၁၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 1,400 = 7
e — Euler's number (e): Digit 1,400 = 2
φ — Golden ratio (φ): Digit 1,400 = 2
√2 — Pythagoras's (√2): Digit 1,400 = 1
ln 2 — Natural log of 2: Digit 1,400 = 2
γ — Euler-Mascheroni (γ): Digit 1,400 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1400, here are decompositions:

19 + 1381 = 1400
73 + 1327 = 1400
79 + 1321 = 1400
97 + 1303 = 1400
103 + 1297 = 1400
109 + 1291 = 1400
151 + 1249 = 1400
163 + 1237 = 1400

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Small Letter Vo

U+0578

Lowercase letter (Ll)

UTF-8 encoding: D5 B8 (2 bytes).

Lookup U+0578 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000578

RGB(0, 5, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.120.

Address: 0.0.5.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.120

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

Musical pitch

Heard as a frequency, 1,400 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, +41¢)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +5¢)

Food additive (E-number)

On an ingredients label, E1400 is Dextrin, an additional additive.

E-number reference (Wikipedia) ↗

Position in π

The digit sequence 1400 first appears in π at position 4,365 of the decimal expansion (the 4,365ordinal-suffix:th 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 1400 on Pi Search ↗