number.wiki
Live analysis

21,120

21,120 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.).
Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
2,112
Recamán's sequence
a(41,599) = 21,120
Square (n²)
446,054,400
Cube (n³)
9,420,668,928,000
Divisor count
64
σ(n) — sum of divisors
73,440
φ(n) — Euler's totient
5,120
Sum of prime factors
33

Primality

Prime factorization: 2 7 × 3 × 5 × 11

Nearest primes: 21,107 (−13) · 21,121 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 30 · 32 · 33 · 40 · 44 · 48 · 55 · 60 · 64 · 66 · 80 · 88 · 96 · 110 · 120 · 128 · 132 · 160 · 165 · 176 · 192 · 220 · 240 · 264 · 320 · 330 · 352 · 384 · 440 · 480 · 528 · 640 · 660 · 704 · 880 · 960 · 1056 · 1320 · 1408 · 1760 · 1920 · 2112 · 2640 · 3520 · 4224 · 5280 · 7040 · 10560 (half) · 21120
Aliquot sum (sum of proper divisors): 52,320
Factor pairs (a × b = 21,120)
1 × 21120
2 × 10560
3 × 7040
4 × 5280
5 × 4224
6 × 3520
8 × 2640
10 × 2112
11 × 1920
12 × 1760
15 × 1408
16 × 1320
20 × 1056
22 × 960
24 × 880
30 × 704
32 × 660
33 × 640
40 × 528
44 × 480
48 × 440
55 × 384
60 × 352
64 × 330
66 × 320
80 × 264
88 × 240
96 × 220
110 × 192
120 × 176
128 × 165
132 × 160
First multiples
21,120 · 42,240 (double) · 63,360 · 84,480 · 105,600 · 126,720 · 147,840 · 168,960 · 190,080 · 211,200

Sums & aliquot sequence

As consecutive integers: 7,039 + 7,040 + 7,041 4,222 + 4,223 + 4,224 + 4,225 + 4,226 1,915 + 1,916 + … + 1,925 1,401 + 1,402 + … + 1,415
Aliquot sequence: 21,120 52,320 114,000 272,880 645,960 1,571,640 3,819,720 7,772,280 15,728,520 31,457,400 77,389,800 162,520,440 325,041,240 651,766,920 1,600,300,920 3,200,602,200 6,721,266,480 — unresolved within range

Representations

In words
twenty-one thousand one hundred twenty
Ordinal
21120th
Binary
101001010000000
Octal
51200
Hexadecimal
0x5280
Base64
UoA=
One's complement
44,415 (16-bit)
In other bases
ternary (3) 1001222020
quaternary (4) 11022000
quinary (5) 1133440
senary (6) 241440
septenary (7) 115401
nonary (9) 31866
undecimal (11) 14960
duodecimal (12) 10280
tridecimal (13) 97c8
tetradecimal (14) 79a8
pentadecimal (15) 63d0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆𓎆
Greek (Milesian)
͵καρκʹ
Mayan (base 20)
𝋢·𝋬·𝋰·𝋠
Chinese
二萬一千一百二十
Chinese (financial)
貳萬壹仟壹佰貳拾
In other modern scripts
Eastern Arabic ٢١١٢٠ Devanagari २११२० Bengali ২১১২০ Tamil ௨௧௧௨௦ Thai ๒๑๑๒๐ Tibetan ༢༡༡༢༠ Khmer ២១១២០ Lao ໒໑໑໒໐ Burmese ၂၁၁၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,120 = 8
e — Euler's number (e)
Digit 21,120 = 1
φ — Golden ratio (φ)
Digit 21,120 = 2
√2 — Pythagoras's (√2)
Digit 21,120 = 6
ln 2 — Natural log of 2
Digit 21,120 = 3
γ — Euler-Mascheroni (γ)
Digit 21,120 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21120, here are decompositions:

  • 13 + 21107 = 21120
  • 19 + 21101 = 21120
  • 31 + 21089 = 21120
  • 53 + 21067 = 21120
  • 59 + 21061 = 21120
  • 61 + 21059 = 21120
  • 89 + 21031 = 21120
  • 97 + 21023 = 21120

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5280
U+5280
Other letter (Lo)

UTF-8 encoding: E5 8A 80 (3 bytes).

Hex color
#005280
RGB(0, 82, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.128.

Address
0.0.82.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.128

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

Position in π

The digit sequence 21120 first appears in π at position 3,821 of the decimal expansion (the 3,821ordinal-suffix:st 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.