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27,680

27,680 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 Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
8,672
Recamán's sequence
a(35,071) = 27,680
Square (n²)
766,182,400
Cube (n³)
21,207,928,832,000
Divisor count
24
σ(n) — sum of divisors
65,772
φ(n) — Euler's totient
11,008
Sum of prime factors
188

Primality

Prime factorization: 2 5 × 5 × 173

Nearest primes: 27,673 (−7) · 27,689 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 173 · 346 · 692 · 865 · 1384 · 1730 · 2768 · 3460 · 5536 · 6920 · 13840 (half) · 27680
Aliquot sum (sum of proper divisors): 38,092
Factor pairs (a × b = 27,680)
1 × 27680
2 × 13840
4 × 6920
5 × 5536
8 × 3460
10 × 2768
16 × 1730
20 × 1384
32 × 865
40 × 692
80 × 346
160 × 173
First multiples
27,680 · 55,360 (double) · 83,040 · 110,720 · 138,400 · 166,080 · 193,760 · 221,440 · 249,120 · 276,800

Sums & aliquot sequence

As a sum of two squares: 28² + 164² = 76² + 148²
As consecutive integers: 5,534 + 5,535 + 5,536 + 5,537 + 5,538 401 + 402 + … + 464 74 + 75 + … + 246
Aliquot sequence: 27,680 38,092 29,948 22,468 18,104 17,416 20,024 17,536 17,654 15,274 10,934 9,802 6,668 5,008 4,726 2,834 1,786 — unresolved within range

Representations

In words
twenty-seven thousand six hundred eighty
Ordinal
27680th
Binary
110110000100000
Octal
66040
Hexadecimal
0x6C20
Base64
bCA=
One's complement
37,855 (16-bit)
In other bases
ternary (3) 1101222012
quaternary (4) 12300200
quinary (5) 1341210
senary (6) 332052
septenary (7) 143462
nonary (9) 41865
undecimal (11) 19884
duodecimal (12) 14028
tridecimal (13) c7a3
tetradecimal (14) a132
pentadecimal (15) 8305

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κζχπʹ
Mayan (base 20)
𝋣·𝋩·𝋤·𝋠
Chinese
二萬七千六百八十
Chinese (financial)
貳萬柒仟陸佰捌拾
In other modern scripts
Eastern Arabic ٢٧٦٨٠ Devanagari २७६८० Bengali ২৭৬৮০ Tamil ௨௭௬௮௦ Thai ๒๗๖๘๐ Tibetan ༢༧༦༨༠ Khmer ២៧៦៨០ Lao ໒໗໖໘໐ Burmese ၂၇၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 27,680 = 7
e — Euler's number (e)
Digit 27,680 = 6
φ — Golden ratio (φ)
Digit 27,680 = 5
√2 — Pythagoras's (√2)
Digit 27,680 = 1
ln 2 — Natural log of 2
Digit 27,680 = 4
γ — Euler-Mascheroni (γ)
Digit 27,680 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 27680, here are decompositions:

  • 7 + 27673 = 27680
  • 97 + 27583 = 27680
  • 139 + 27541 = 27680
  • 151 + 27529 = 27680
  • 193 + 27487 = 27680
  • 199 + 27481 = 27680
  • 223 + 27457 = 27680
  • 271 + 27409 = 27680

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6C20
U+6C20
Other letter (Lo)

UTF-8 encoding: E6 B0 A0 (3 bytes).

Hex color
#006C20
RGB(0, 108, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.108.32.

Address
0.0.108.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.108.32

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

Position in π

The digit sequence 27680 first appears in π at position 17,510 of the decimal expansion (the 17,510ordinal-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.