Live analysis

2,120

2,120 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

2,120 (two thousand one hundred twenty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 53. Its proper divisors sum to 2,740, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCXX and in binary, 100001001000.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,108 2,109 2,110 2,111 2,112 2,113 2,114 2,115 2,116 2,117 2,118 2,119 2,120 2,121 2,122 2,123 2,124 2,125 2,126 2,127 2,128 2,129 2,130 2,131 2,132

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 212
Recamán's sequence: a(3,511) = 2,120
Square (n²): 4,494,400
Cube (n³): 9,528,128,000
Divisor count: 16
σ(n) — sum of divisors: 4,860
φ(n) — Euler's totient: 832
Sum of prime factors: 64

Primality

Prime factorization: 2 ³ × 5 × 53

Nearest primes: 2,113 (−7) · 2,129 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 53 · 106 · 212 · 265 · 424 · 530 · 1060 (half) · 2120

Aliquot sum (sum of proper divisors): 2,740

Factor pairs (a × b = 2,120)

1 × 2120

2 × 1060

4 × 530

5 × 424

8 × 265

10 × 212

20 × 106

40 × 53

First multiples

2,120 · 4,240 (double) · 6,360 · 8,480 · 10,600 · 12,720 · 14,840 · 16,960 · 19,080 · 21,200

Sums & aliquot sequence

As a sum of two squares: 2² + 46² = 26² + 38²

As consecutive integers: 422 + 423 + 424 + 425 + 426 125 + 126 + … + 140 14 + 15 + … + 66

Aliquot sequence: 2,120 → 2,740 → 3,056 → 2,896 → 2,746 → 1,376 → 1,396 → 1,054 → 674 → 340 → 416 → 466 → 236 → 184 → 176 → 196 → 203 — unresolved within range

Continued fraction of √n

√2,120 = [46; (23, 92)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: two thousand one hundred twenty
Ordinal: 2120th
Roman numeral: MMCXX
Binary: 100001001000
Octal: 4110
Hexadecimal: 0x848
Base64: CEg=
One's complement: 63,415 (16-bit)
Scientific notation: 2.12 × 10³
As a duration: 2,120 s = 35 minutes, 20 seconds

In other bases

ternary (3) 2220112

quaternary (4) 201020

quinary (5) 31440

senary (6) 13452

septenary (7) 6116

nonary (9) 2815

undecimal (11) 1658

duodecimal (12) 1288

tridecimal (13) c71

tetradecimal (14) ab6

pentadecimal (15) 965

Palindromic in base 7, base 16

As an angle

2,120° = 5 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵βρκʹ
Mayan (base 20): 𝋥·𝋦·𝋠
Chinese: 二千一百二十
Chinese (financial): 貳仟壹佰貳拾

In other modern scripts

Eastern Arabic ٢١٢٠ Devanagari २१२० Bengali ২১২০ Tamil ௨௧௨௦ Thai ๒๑๒๐ Tibetan ༢༡༢༠ Khmer ២១២០ Lao ໒໑໒໐ Burmese ၂၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 2,120 = 4
e — Euler's number (e): Digit 2,120 = 1
φ — Golden ratio (φ): Digit 2,120 = 1
√2 — Pythagoras's (√2): Digit 2,120 = 6
ln 2 — Natural log of 2: Digit 2,120 = 3
γ — Euler-Mascheroni (γ): Digit 2,120 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2120, here are decompositions:

7 + 2113 = 2120
31 + 2089 = 2120
37 + 2083 = 2120
67 + 2053 = 2120
103 + 2017 = 2120
109 + 2011 = 2120
127 + 1993 = 2120
241 + 1879 = 2120

Showing the first eight; more decompositions exist.

Unicode codepoint

ࡈ

Mandaic Letter Att

U+0848

Other letter (Lo)

UTF-8 encoding: E0 A1 88 (3 bytes).

Lookup U+0848 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000848

RGB(0, 8, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.72.

Address: 0.0.8.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.72

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

Musical pitch

Heard as a frequency, 2,120 Hz is closest to:

Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +22¢)
Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -40¢)
Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +23¢)

Position in π

The digit sequence 2120 first appears in π at position 5,360 of the decimal expansion (the 5,360ordinal-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 2120 on Pi Search ↗