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Number

1,840

1,840 is a composite number, even, a calendar year.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Notable events — 1840 AD

  1. Feb 10 Queen Victoria marries Prince Albert.
  2. Feb 6 The Treaty of Waitangi establishes British sovereignty in New Zealand.
  3. May 6 Britain issues the Penny Black, the world's first adhesive postage stamp.
  4. Nov 7 The Convention of Alexandria settles the Egypt-Ottoman crisis.
  5. Dec 2 William Henry Harrison defeats Martin Van Buren in the US presidential election.

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, 1840
Ended on
Thursday
December 31, 1840
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 19
Sunday, April 19, 1840
Decade
1840s
1840–1849
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
186
186 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew
5600 / 5601 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1255 / 1256 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2383 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1218 / 1219 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1832 / 1833 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1762 / 1761 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
481
Recamán's sequence
a(8,064) = 1,840
Square (n²)
3,385,600
Cube (n³)
6,229,504,000
Divisor count
20
σ(n) — sum of divisors
4,464
φ(n) — Euler's totient
704
Sum of prime factors
36

Primality

Prime factorization: 2 4 × 5 × 23

Nearest primes: 1,831 (−9) · 1,847 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 40 · 46 · 80 · 92 · 115 · 184 · 230 · 368 · 460 · 920 (half) · 1840
Aliquot sum (sum of proper divisors): 2,624
Factor pairs (a × b = 1,840)
1 × 1840
2 × 920
4 × 460
5 × 368
8 × 230
10 × 184
16 × 115
20 × 92
23 × 80
40 × 46
First multiples
1,840 · 3,680 (double) · 5,520 · 7,360 · 9,200 · 11,040 · 12,880 · 14,720 · 16,560 · 18,400

Sums & aliquot sequence

As consecutive integers: 366 + 367 + 368 + 369 + 370 69 + 70 + … + 91 42 + 43 + … + 73
Aliquot sequence: 1,840 2,624 2,710 2,186 1,096 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand eight hundred forty
Ordinal
1840th
Roman numeral
MDCCCXL
Binary
11100110000
Octal
3460
Hexadecimal
0x730
Base64
BzA=
One's complement
63,695 (16-bit)
In other bases
ternary (3) 2112011
quaternary (4) 130300
quinary (5) 24330
senary (6) 12304
septenary (7) 5236
nonary (9) 2464
undecimal (11) 1423
duodecimal (12) 1094
tridecimal (13) ab7
tetradecimal (14) 956
pentadecimal (15) 82a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αωμʹ
Mayan (base 20)
𝋤·𝋬·𝋠
Chinese
一千八百四十
Chinese (financial)
壹仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٨٤٠ Devanagari १८४० Bengali ১৮৪০ Tamil ௧௮௪௦ Thai ๑๘๔๐ Tibetan ༡༨༤༠ Khmer ១៨៤០ Lao ໑໘໔໐ Burmese ၁၈၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,840 = 4
e — Euler's number (e)
Digit 1,840 = 8
φ — Golden ratio (φ)
Digit 1,840 = 1
√2 — Pythagoras's (√2)
Digit 1,840 = 3
ln 2 — Natural log of 2
Digit 1,840 = 3
γ — Euler-Mascheroni (γ)
Digit 1,840 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1840, here are decompositions:

  • 17 + 1823 = 1840
  • 29 + 1811 = 1840
  • 53 + 1787 = 1840
  • 107 + 1733 = 1840
  • 131 + 1709 = 1840
  • 173 + 1667 = 1840
  • 227 + 1613 = 1840
  • 233 + 1607 = 1840

Showing the first eight; more decompositions exist.

Unicode codepoint
ܰ
Syriac Pthaha Above
U+0730
Non-spacing mark (Mn)

UTF-8 encoding: DC B0 (2 bytes).

Hex color
#000730
RGB(0, 7, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.48.

Address
0.0.7.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.48

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

Position in π

The digit sequence 1840 first appears in π at position 7,639 of the decimal expansion (the 7,639ordinal-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.