16,768
16,768 is a composite number, even.
16,768 (sixteen thousand seven hundred sixty-eight) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 131. Its proper divisors sum to 16,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4180.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 28
- Digit product
- 2,016
- Digital root
- 1
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 86,761
- Recamán's sequence
- a(17,700) = 16,768
- Square (n²)
- 281,165,824
- Cube (n³)
- 4,714,588,536,832
- Divisor count
- 16
- σ(n) — sum of divisors
- 33,660
- φ(n) — Euler's totient
- 8,320
- Sum of prime factors
- 145
Primality
Prime factorization: 2 7 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,768 = [129; (2, 28, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 10, 1, 2, 15, 1, 5, 2, 1, 1, 1, …)]
Representations
- In words
- sixteen thousand seven hundred sixty-eight
- Ordinal
- 16768th
- Binary
- 100000110000000
- Octal
- 40600
- Hexadecimal
- 0x4180
- Base64
- QYA=
- One's complement
- 48,767 (16-bit)
- Scientific notation
- 1.6768 × 10⁴
- As a duration
- 16,768 s = 4 hours, 39 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιϛψξηʹ
- Mayan (base 20)
- 𝋢·𝋡·𝋲·𝋨
- Chinese
- 一萬六千七百六十八
- Chinese (financial)
- 壹萬陸仟柒佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,768 = 2
- e — Euler's number (e)
- Digit 16,768 = 0
- φ — Golden ratio (φ)
- Digit 16,768 = 9
- √2 — Pythagoras's (√2)
- Digit 16,768 = 4
- ln 2 — Natural log of 2
- Digit 16,768 = 0
- γ — Euler-Mascheroni (γ)
- Digit 16,768 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16768, here are decompositions:
- 5 + 16763 = 16768
- 107 + 16661 = 16768
- 137 + 16631 = 16768
- 149 + 16619 = 16768
- 239 + 16529 = 16768
- 281 + 16487 = 16768
- 317 + 16451 = 16768
- 347 + 16421 = 16768
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 86 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.128.
- Address
- 0.0.65.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.65.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,768 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +2¢)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +40¢)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +4¢)
The digit sequence 16768 first appears in π at position 12,890 of the decimal expansion (the 12,890ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.