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Number

1,820

1,820 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Pentagonal Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1820 AD

  1. Mar 6 Congress passes the Missouri Compromise admitting Missouri as a slave state.
  2. Jan 29 George III dies after a 59-year reign; George IV succeeds him.
  3. Jul 2 The Revolution of 1820 begins in Naples.
  4. Mar 15 Maine becomes the 23rd US state.
  5. Aug 11 The first arrivals of British settlers reach the Cape Colony in the "1820 settlers" scheme.

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
Saturday
January 1, 1820
Ended on
Sunday
December 31, 1820
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 2
Sunday, April 2, 1820
Decade
1820s
1820–1829
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
206
206 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew
5580 / 5581 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1235 / 1236 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
2363 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1198 / 1199 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1812 / 1813 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1742 / 1741 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
281
Recamán's sequence
a(463) = 1,820
Square (n²)
3,312,400
Cube (n³)
6,028,568,000
Divisor count
24
σ(n) — sum of divisors
4,704
φ(n) — Euler's totient
576
Sum of prime factors
29

Primality

Prime factorization: 2 2 × 5 × 7 × 13

Nearest primes: 1,811 (−9) · 1,823 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 52 · 65 · 70 · 91 · 130 · 140 · 182 · 260 · 364 · 455 · 910 (half) · 1820
Aliquot sum (sum of proper divisors): 2,884
Factor pairs (a × b = 1,820)
1 × 1820
2 × 910
4 × 455
5 × 364
7 × 260
10 × 182
13 × 140
14 × 130
20 × 91
26 × 70
28 × 65
35 × 52
First multiples
1,820 · 3,640 (double) · 5,460 · 7,280 · 9,100 · 10,920 · 12,740 · 14,560 · 16,380 · 18,200

Sums & aliquot sequence

As consecutive integers: 362 + 363 + 364 + 365 + 366 257 + 258 + … + 263 224 + 225 + … + 231 134 + 135 + … + 146
Aliquot sequence: 1,820 2,884 2,940 6,636 11,284 13,804 16,436 16,492 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 — unresolved within range

Representations

In words
one thousand eight hundred twenty
Ordinal
1820th
Roman numeral
MDCCCXX
Binary
11100011100
Octal
3434
Hexadecimal
0x71C
Base64
Bxw=
One's complement
63,715 (16-bit)
In other bases
ternary (3) 2111102
quaternary (4) 130130
quinary (5) 24240
senary (6) 12232
septenary (7) 5210
nonary (9) 2442
undecimal (11) 1405
duodecimal (12) 1078
tridecimal (13) aa0
tetradecimal (14) 940
pentadecimal (15) 815

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵αωκʹ
Mayan (base 20)
𝋤·𝋫·𝋠
Chinese
一千八百二十
Chinese (financial)
壹仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٨٢٠ Devanagari १८२० Bengali ১৮২০ Tamil ௧௮௨௦ Thai ๑๘๒๐ Tibetan ༡༨༢༠ Khmer ១៨២០ Lao ໑໘໒໐ Burmese ၁၈၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,820 = 9
e — Euler's number (e)
Digit 1,820 = 7
φ — Golden ratio (φ)
Digit 1,820 = 4
√2 — Pythagoras's (√2)
Digit 1,820 = 2
ln 2 — Natural log of 2
Digit 1,820 = 9
γ — Euler-Mascheroni (γ)
Digit 1,820 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1820, here are decompositions:

  • 19 + 1801 = 1820
  • 31 + 1789 = 1820
  • 37 + 1783 = 1820
  • 43 + 1777 = 1820
  • 61 + 1759 = 1820
  • 67 + 1753 = 1820
  • 73 + 1747 = 1820
  • 79 + 1741 = 1820

Showing the first eight; more decompositions exist.

Unicode codepoint
ܜ
Syriac Letter Teth Garshuni
U+071C
Other letter (Lo)

UTF-8 encoding: DC 9C (2 bytes).

Hex color
#00071C
RGB(0, 7, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.28.

Address
0.0.7.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.28

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

Position in π

The digit sequence 1820 first appears in π at position 24,653 of the decimal expansion (the 24,653ordinal-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.