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27,180

27,180 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.).

27,180 (twenty-seven thousand one hundred eighty) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 151. Its proper divisors sum to 55,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x6A2C.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
8,172
Recamán's sequence
a(163,727) = 27,180
Square (n²)
738,752,400
Cube (n³)
20,079,290,232,000
Divisor count
36
σ(n) — sum of divisors
82,992
φ(n) — Euler's totient
7,200
Sum of prime factors
166

Primality

Prime factorization: 2 2 × 3 2 × 5 × 151

Nearest primes: 27,179 (−1) · 27,191 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 151 · 180 · 302 · 453 · 604 · 755 · 906 · 1359 · 1510 · 1812 · 2265 · 2718 · 3020 · 4530 · 5436 · 6795 · 9060 · 13590 (half) · 27180
Aliquot sum (sum of proper divisors): 55,812
Factor pairs (a × b = 27,180)
1 × 27180
2 × 13590
3 × 9060
4 × 6795
5 × 5436
6 × 4530
9 × 3020
10 × 2718
12 × 2265
15 × 1812
18 × 1510
20 × 1359
30 × 906
36 × 755
45 × 604
60 × 453
90 × 302
151 × 180
First multiples
27,180 · 54,360 (double) · 81,540 · 108,720 · 135,900 · 163,080 · 190,260 · 217,440 · 244,620 · 271,800

Sums & aliquot sequence

As consecutive integers: 9,059 + 9,060 + 9,061 5,434 + 5,435 + 5,436 + 5,437 + 5,438 3,394 + 3,395 + … + 3,401 3,016 + 3,017 + … + 3,024
Aliquot sequence: 27,180 55,812 74,444 59,620 77,468 60,124 45,100 64,268 48,208 50,000 71,086 35,546 25,414 13,394 7,354 3,680 5,392 — unresolved within range

Continued fraction of √n

√27,180 = [164; (1, 6, 3, 36, 3, 6, 1, 328)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
twenty-seven thousand one hundred eighty
Ordinal
27180th
Binary
110101000101100
Octal
65054
Hexadecimal
0x6A2C
Base64
aiw=
One's complement
38,355 (16-bit)
Scientific notation
2.718 × 10⁴
As a duration
27,180 s = 7 hours, 33 minutes
In other bases
ternary (3) 1101021200
quaternary (4) 12220230
quinary (5) 1332210
senary (6) 325500
septenary (7) 142146
nonary (9) 41250
undecimal (11) 1946a
duodecimal (12) 13890
tridecimal (13) c4aa
tetradecimal (14) 9c96
pentadecimal (15) 80c0

As an angle

27,180° = 75 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κζρπʹ
Mayan (base 20)
𝋣·𝋧·𝋳·𝋠
Chinese
二萬七千一百八十
Chinese (financial)
貳萬柒仟壹佰捌拾
In other modern scripts
Eastern Arabic ٢٧١٨٠ Devanagari २७१८० Bengali ২৭১৮০ Tamil ௨௭௧௮௦ Thai ๒๗๑๘๐ Tibetan ༢༧༡༨༠ Khmer ២៧១៨០ Lao ໒໗໑໘໐ Burmese ၂၇၁၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 27,180 = 4
e — Euler's number (e)
Digit 27,180 = 3
φ — Golden ratio (φ)
Digit 27,180 = 4
√2 — Pythagoras's (√2)
Digit 27,180 = 6
ln 2 — Natural log of 2
Digit 27,180 = 4
γ — Euler-Mascheroni (γ)
Digit 27,180 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 27180, here are decompositions:

  • 37 + 27143 = 27180
  • 53 + 27127 = 27180
  • 71 + 27109 = 27180
  • 73 + 27107 = 27180
  • 89 + 27091 = 27180
  • 103 + 27077 = 27180
  • 107 + 27073 = 27180
  • 113 + 27067 = 27180

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6A2C
U+6A2C
Other letter (Lo)

UTF-8 encoding: E6 A8 AC (3 bytes).

Hex color
#006A2C
RGB(0, 106, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.106.44.

Address
0.0.106.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.106.44

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

Position in π

The digit sequence 27180 first appears in π at position 19,944 of the decimal expansion (the 19,944ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.