Number

2,020

2,020 is a composite number, even, a calendar year.

2,020 (two thousand twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 101. Its proper divisors sum to 2,264, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMXX and in binary, 11111100100.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Self-Describing Number Semiperfect Number Undulating Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,008 2,009 2,010 2,011 2,012 2,013 2,014 2,015 2,016 2,017 2,018 2,019 2,020 2,021 2,022 2,023 2,024 2,025 2,026 2,027 2,028 2,029 2,030 2,031 2,032

less more

Notable events — 2020 AD

Jan 3 A US drone strike at Baghdad airport kills Iranian general Qasem Soleimani.
Jan 26 Kobe Bryant and eight others die in a helicopter crash in Calabasas, California.
Jan 31 The United Kingdom formally leaves the European Union.
Mar 11 The WHO declares the COVID-19 outbreak a pandemic.
Mar 24 The 2020 Summer Olympics are postponed to 2021 amid the pandemic.

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, 2020
Ended on: Thursday
December 31, 2020
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 12
Sunday, April 12, 2020
Decade: 2020s
2020–2029
Century: 21st century
2001–2100
Millennium: 3rd millennium
2001–3000
Years ago: 6
6 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics: Yes
Tokyo 2020 was held in 2021 due to the COVID-19 pandemic but retained its 2020 branding.

In other calendars

Hebrew: 5780 / 5781 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1441 / 1442 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: 2563 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1398 / 1399 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 2012 / 2013 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1942 / 1941 Saka
Indian national calendar; year starts in March.
Japanese: Reiwa 2
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 202
Recamán's sequence: a(3,711) = 2,020
Square (n²): 4,080,400
Cube (n³): 8,242,408,000
Divisor count: 12
σ(n) — sum of divisors: 4,284
φ(n) — Euler's totient: 800
Sum of prime factors: 110

Primality

Prime factorization: 2 ² × 5 × 101

Nearest primes: 2,017 (−3) · 2,027 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 101 · 202 · 404 · 505 · 1010 (half) · 2020

Aliquot sum (sum of proper divisors): 2,264

Factor pairs (a × b = 2,020)

1 × 2020

2 × 1010

4 × 505

5 × 404

10 × 202

20 × 101

First multiples

2,020 · 4,040 (double) · 6,060 · 8,080 · 10,100 · 12,120 · 14,140 · 16,160 · 18,180 · 20,200

Sums & aliquot sequence

As a sum of two squares: 16² + 42² = 24² + 38²

As consecutive integers: 402 + 403 + 404 + 405 + 406 249 + 250 + … + 256 31 + 32 + … + 70

Aliquot sequence: 2,020 → 2,264 → 1,996 → 1,504 → 1,520 → 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 → 3,004 — unresolved within range

Continued fraction of √n

√2,020 = [44; (1, 16, 1, 88)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: two thousand twenty
Ordinal: 2020th
Roman numeral: MMXX
Binary: 11111100100
Octal: 3744
Hexadecimal: 0x7E4
Base64: B+Q=
One's complement: 63,515 (16-bit)
Scientific notation: 2.02 × 10³
As a duration: 2,020 s = 33 minutes, 40 seconds

In other bases

ternary (3) 2202211

quaternary (4) 133210

quinary (5) 31040

senary (6) 13204

septenary (7) 5614

nonary (9) 2684

undecimal (11) 1577

duodecimal (12) 1204

tridecimal (13) bc5

tetradecimal (14) a44

pentadecimal (15) 8ea

As an angle

2,020° = 5 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓎆𓎆
Greek (Milesian): ͵βκʹ
Mayan (base 20): 𝋥·𝋡·𝋠
Chinese: 二千零二十
Chinese (financial): 貳仟零貳拾

In other modern scripts

Eastern Arabic ٢٠٢٠ Devanagari २०२० Bengali ২০২০ Tamil ௨௦௨௦ Thai ๒๐๒๐ Tibetan ༢༠༢༠ Khmer ២០២០ Lao ໒໐໒໐ Burmese ၂၀၂၀

Digit at this position in famous constants

π — Pi (π): Digit 2,020 = 8
e — Euler's number (e): Digit 2,020 = 4
φ — Golden ratio (φ): Digit 2,020 = 2
√2 — Pythagoras's (√2): Digit 2,020 = 5
ln 2 — Natural log of 2: Digit 2,020 = 9
γ — Euler-Mascheroni (γ): Digit 2,020 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2020, here are decompositions:

3 + 2017 = 2020
17 + 2003 = 2020
23 + 1997 = 2020
41 + 1979 = 2020
47 + 1973 = 2020
71 + 1949 = 2020
89 + 1931 = 2020
107 + 1913 = 2020

Showing the first eight; more decompositions exist.

Unicode codepoint

Nko Letter Ha

U+07E4

Other letter (Lo)

UTF-8 encoding: DF A4 (2 bytes).

Lookup U+07E4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0007E4

RGB(0, 7, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.228.

Address: 0.0.7.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.228

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

Musical pitch

Heard as a frequency, 2,020 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +39¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +40¢)

Position in π

The digit sequence 2020 first appears in π at position 7,285 of the decimal expansion (the 7,285ordinal-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 2020 on Pi Search ↗