Number

1,860

1,860 is a composite number, even, a calendar year.

1,860 (one thousand eight hundred sixty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 31. Its proper divisors sum to 3,516, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCCLX and in binary, 11101000100.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,848 1,849 1,850 1,851 1,852 1,853 1,854 1,855 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

less more

Notable events — 1860 AD

Nov 6 Abraham Lincoln is elected US president.
Dec 20 South Carolina becomes the first state to secede from the Union.
Oct 13 Garibaldi's troops victorious at Volturno, paving the way for Italian unification.
Apr 3 The Pony Express begins service between Missouri and California.
Oct 18 The Anglo-French capture of Beijing ends the Second Opium War.

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: Sunday
January 1, 1860
Ended on: Monday
December 31, 1860
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 8
Sunday, April 8, 1860
Decade: 1860s
1860–1869
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 166
166 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew: 5620 / 5621 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1276 / 1277 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2403 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1238 / 1239 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1852 / 1853 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1782 / 1781 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 681
Flips to (rotate 180°): 981
Recamán's sequence: a(8,024) = 1,860
Square (n²): 3,459,600
Cube (n³): 6,434,856,000
Divisor count: 24
σ(n) — sum of divisors: 5,376
φ(n) — Euler's totient: 480
Sum of prime factors: 43

Primality

Prime factorization: 2 ² × 3 × 5 × 31

Nearest primes: 1,847 (−13) · 1,861 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 31 · 60 · 62 · 93 · 124 · 155 · 186 · 310 · 372 · 465 · 620 · 930 (half) · 1860

Aliquot sum (sum of proper divisors): 3,516

Factor pairs (a × b = 1,860)

1 × 1860

2 × 930

3 × 620

4 × 465

5 × 372

6 × 310

10 × 186

12 × 155

15 × 124

20 × 93

30 × 62

31 × 60

First multiples

1,860 · 3,720 (double) · 5,580 · 7,440 · 9,300 · 11,160 · 13,020 · 14,880 · 16,740 · 18,600

Sums & aliquot sequence

As consecutive integers: 619 + 620 + 621 370 + 371 + 372 + 373 + 374 229 + 230 + … + 236 117 + 118 + … + 131

Aliquot sequence: 1,860 → 3,516 → 4,716 → 7,296 → 13,104 → 32,032 → 52,640 → 92,512 → 122,948 → 123,004 → 135,044 → 166,600 → 310,490 → 258,670 → 206,954 → 147,286 → 73,646 — unresolved within range

Continued fraction of √n

√1,860 = [43; (7, 1, 4, 1, 7, 86)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred sixty
Ordinal: 1860th
Roman numeral: MDCCCLX
Binary: 11101000100
Octal: 3504
Hexadecimal: 0x744
Base64: B0Q=
One's complement: 63,675 (16-bit)
Scientific notation: 1.86 × 10³
As a duration: 1,860 s = 31 minutes

In other bases

ternary (3) 2112220

quaternary (4) 131010

quinary (5) 24420

senary (6) 12340

septenary (7) 5265

nonary (9) 2486

undecimal (11) 1441

duodecimal (12) 10b0

tridecimal (13) b01

tetradecimal (14) 96c

pentadecimal (15) 840

Palindromic in base 11

As an angle

1,860° = 5 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αωξʹ
Mayan (base 20): 𝋤·𝋭·𝋠
Chinese: 一千八百六十
Chinese (financial): 壹仟捌佰陸拾

In other modern scripts

Eastern Arabic ١٨٦٠ Devanagari १८६० Bengali ১৮৬০ Tamil ௧௮௬௦ Thai ๑๘๖๐ Tibetan ༡༨༦༠ Khmer ១៨៦០ Lao ໑໘໖໐ Burmese ၁၈၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,860 = 9
e — Euler's number (e): Digit 1,860 = 8
φ — Golden ratio (φ): Digit 1,860 = 1
√2 — Pythagoras's (√2): Digit 1,860 = 6
ln 2 — Natural log of 2: Digit 1,860 = 4
γ — Euler-Mascheroni (γ): Digit 1,860 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1860, here are decompositions:

13 + 1847 = 1860
29 + 1831 = 1860
37 + 1823 = 1860
59 + 1801 = 1860
71 + 1789 = 1860
73 + 1787 = 1860
83 + 1777 = 1860
101 + 1759 = 1860

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Two Vertical Dots Below

U+0744

Non-spacing mark (Mn)

UTF-8 encoding: DD 84 (2 bytes).

Lookup U+0744 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000744

RGB(0, 7, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.68.

Address: 0.0.7.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.68

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

Musical pitch

Heard as a frequency, 1,860 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, -4¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +33¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, -3¢)

Position in π

The digit sequence 1860 first appears in π at position 4,783 of the decimal expansion (the 4,783ordinal-suffix:rd 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 1860 on Pi Search ↗