Number

1,868

1,868 is a composite number, even, a calendar year.

1,868 (one thousand eight hundred sixty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 467. Written other ways, in Roman numerals it is MDCCCLXVIII and in binary, 11101001100.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Recamán's Sequence Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,856 1,857 1,858 1,859 1,860 1,861 1,862 1,863 1,864 1,865 1,866 1,867 1,868 1,869 1,870 1,871 1,872 1,873 1,874 1,875 1,876 1,877 1,878 1,879 1,880

less more

Notable events — 1868 AD

Feb 24 President Andrew Johnson is impeached by the US House of Representatives.
May 26 Johnson is acquitted in the Senate by one vote.
Jul 9 The 14th Amendment is ratified, granting birthright citizenship.
Nov 3 Ulysses S. Grant is elected US president.
Jan 3 The Meiji Restoration ends the Tokugawa shogunate in Japan.

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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1868
Ended on: Thursday
December 31, 1868
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 12
Sunday, April 12, 1868
Decade: 1860s
1860–1869
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 158
158 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew: 5628 / 5629 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1284 / 1285 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2411 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1246 / 1247 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1860 / 1861 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1790 / 1789 Saka
Indian national calendar; year starts in March.
Japanese: Meiji 1
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 23
Digit product: 384
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 8,681
Flips to (rotate 180°): 8,981
Recamán's sequence: a(8,008) = 1,868
Square (n²): 3,489,424
Cube (n³): 6,518,244,032
Divisor count: 6
σ(n) — sum of divisors: 3,276
φ(n) — Euler's totient: 932
Sum of prime factors: 471

Primality

Prime factorization: 2 ² × 467

Nearest primes: 1,867 (−1) · 1,871 (+3)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 467 · 934 (half) · 1868

Aliquot sum (sum of proper divisors): 1,408

Factor pairs (a × b = 1,868)

1 × 1868

2 × 934

4 × 467

First multiples

1,868 · 3,736 (double) · 5,604 · 7,472 · 9,340 · 11,208 · 13,076 · 14,944 · 16,812 · 18,680

Sums & aliquot sequence

As consecutive integers: 230 + 231 + … + 237

Aliquot sequence: 1,868 → 1,408 → 1,652 → 1,708 → 1,764 → 3,423 → 1,825 → 469 → 75 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,868 = [43; (4, 1, 1, 6, 10, 1, 1, 1, 7, 4, 1, 20, 1, 4, 7, 1, 1, 1, 10, 6, 1, 1, 4, 86)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred sixty-eight
Ordinal: 1868th
Roman numeral: MDCCCLXVIII
Binary: 11101001100
Octal: 3514
Hexadecimal: 0x74C
Base64: B0w=
One's complement: 63,667 (16-bit)
Scientific notation: 1.868 × 10³
As a duration: 1,868 s = 31 minutes, 8 seconds

In other bases

ternary (3) 2120012

quaternary (4) 131030

quinary (5) 24433

senary (6) 12352

septenary (7) 5306

nonary (9) 2505

undecimal (11) 1449

duodecimal (12) 10b8

tridecimal (13) b09

tetradecimal (14) 976

pentadecimal (15) 848

Palindromic in base 15

As an angle

1,868° = 5 × 360° + 68°

68° ≈ 1.187 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αωξηʹ
Mayan (base 20): 𝋤·𝋭·𝋨
Chinese: 一千八百六十八
Chinese (financial): 壹仟捌佰陸拾捌

In other modern scripts

Eastern Arabic ١٨٦٨ Devanagari १८६८ Bengali ১৮৬৮ Tamil ௧௮௬௮ Thai ๑๘๖๘ Tibetan ༡༨༦༨ Khmer ១៨៦៨ Lao ໑໘໖໘ Burmese ၁၈၆၈

Digit at this position in famous constants

π — Pi (π): Digit 1,868 = 4
e — Euler's number (e): Digit 1,868 = 2
φ — Golden ratio (φ): Digit 1,868 = 8
√2 — Pythagoras's (√2): Digit 1,868 = 7
ln 2 — Natural log of 2: Digit 1,868 = 7
γ — Euler-Mascheroni (γ): Digit 1,868 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1868, here are decompositions:

7 + 1861 = 1868
37 + 1831 = 1868
67 + 1801 = 1868
79 + 1789 = 1868
109 + 1759 = 1868
127 + 1741 = 1868
199 + 1669 = 1868
211 + 1657 = 1868

Showing the first eight; more decompositions exist.

Hex color

#00074C

RGB(0, 7, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.76.

Address: 0.0.7.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.76

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

Musical pitch

Heard as a frequency, 1,868 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, +3¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +41¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, +4¢)

Position in π

The digit sequence 1868 first appears in π at position 10,216 of the decimal expansion (the 10,216ordinal-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 1868 on Pi Search ↗