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27,968

27,968 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 Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
32
Digit product
6,048
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
86,972
Recamán's sequence
a(34,495) = 27,968
Square (n²)
782,209,024
Cube (n³)
21,876,821,983,232
Divisor count
28
σ(n) — sum of divisors
60,960
φ(n) — Euler's totient
12,672
Sum of prime factors
54

Primality

Prime factorization: 2 6 × 19 × 23

Nearest primes: 27,967 (−1) · 27,983 (+15)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 19 · 23 · 32 · 38 · 46 · 64 · 76 · 92 · 152 · 184 · 304 · 368 · 437 · 608 · 736 · 874 · 1216 · 1472 · 1748 · 3496 · 6992 · 13984 (half) · 27968
Aliquot sum (sum of proper divisors): 32,992
Factor pairs (a × b = 27,968)
1 × 27968
2 × 13984
4 × 6992
8 × 3496
16 × 1748
19 × 1472
23 × 1216
32 × 874
38 × 736
46 × 608
64 × 437
76 × 368
92 × 304
152 × 184
First multiples
27,968 · 55,936 (double) · 83,904 · 111,872 · 139,840 · 167,808 · 195,776 · 223,744 · 251,712 · 279,680

Sums & aliquot sequence

As consecutive integers: 1,463 + 1,464 + … + 1,481 1,205 + 1,206 + … + 1,227 155 + 156 + … + 282
Aliquot sequence: 27,968 32,992 32,024 28,036 22,476 29,996 22,504 21,596 16,204 12,160 18,440 23,140 29,780 32,800 49,226 25,558 15,770 — unresolved within range

Representations

In words
twenty-seven thousand nine hundred sixty-eight
Ordinal
27968th
Binary
110110101000000
Octal
66500
Hexadecimal
0x6D40
Base64
bUA=
One's complement
37,567 (16-bit)
In other bases
ternary (3) 1102100212
quaternary (4) 12311000
quinary (5) 1343333
senary (6) 333252
septenary (7) 144353
nonary (9) 42325
undecimal (11) 1a016
duodecimal (12) 14228
tridecimal (13) c965
tetradecimal (14) a29a
pentadecimal (15) 8448

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κζϡξηʹ
Mayan (base 20)
𝋣·𝋩·𝋲·𝋨
Chinese
二萬七千九百六十八
Chinese (financial)
貳萬柒仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ٢٧٩٦٨ Devanagari २७९६८ Bengali ২৭৯৬৮ Tamil ௨௭௯௬௮ Thai ๒๗๙๖๘ Tibetan ༢༧༩༦༨ Khmer ២៧៩៦៨ Lao ໒໗໙໖໘ Burmese ၂၇၉၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 27,968 = 0
e — Euler's number (e)
Digit 27,968 = 5
φ — Golden ratio (φ)
Digit 27,968 = 4
√2 — Pythagoras's (√2)
Digit 27,968 = 3
ln 2 — Natural log of 2
Digit 27,968 = 9
γ — Euler-Mascheroni (γ)
Digit 27,968 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 27968, here are decompositions:

  • 7 + 27961 = 27968
  • 67 + 27901 = 27968
  • 151 + 27817 = 27968
  • 229 + 27739 = 27968
  • 271 + 27697 = 27968
  • 277 + 27691 = 27968
  • 337 + 27631 = 27968
  • 439 + 27529 = 27968

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6D40
U+6D40
Other letter (Lo)

UTF-8 encoding: E6 B5 80 (3 bytes).

Hex color
#006D40
RGB(0, 109, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.109.64.

Address
0.0.109.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.109.64

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

Position in π

The digit sequence 27968 first appears in π at position 688 of the decimal expansion (the 688ordinal-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.