27,968
27,968 is a composite number, even.
27,968 (twenty-seven thousand nine hundred sixty-eight) is an even 5-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 19 × 23. Its proper divisors sum to 32,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x6D40.
Interestingness
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
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√27,968 = [167; (4, 4, 3, 83, 3, 4, 4, 334)]
Period length 8 — the block in parentheses repeats forever.
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)
- Scientific notation
- 2.7968 × 10⁴
- As a duration
- 27,968 s = 7 hours, 46 minutes, 8 seconds
As an angle
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
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'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.
UTF-8 encoding: E6 B5 80 (3 bytes).
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.
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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.