13,160
13,160 is a composite number, even.
13,160 (thirteen thousand one hundred sixty) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 47. Its proper divisors sum to 21,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3368.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 6,131
- Recamán's sequence
- a(47,955) = 13,160
- Square (n²)
- 173,185,600
- Cube (n³)
- 2,279,122,496,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 34,560
- φ(n) — Euler's totient
- 4,416
- Sum of prime factors
- 65
Primality
Prime factorization: 2 3 × 5 × 7 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,160 = [114; (1, 2, 1, 1, 6, 1, 4, 1, 6, 1, 1, 2, 1, 228)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand one hundred sixty
- Ordinal
- 13160th
- Binary
- 11001101101000
- Octal
- 31550
- Hexadecimal
- 0x3368
- Base64
- M2g=
- One's complement
- 52,375 (16-bit)
- Scientific notation
- 1.316 × 10⁴
- As a duration
- 13,160 s = 3 hours, 39 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγρξʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋲·𝋠
- Chinese
- 一萬三千一百六十
- Chinese (financial)
- 壹萬參仟壹佰陸拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,160 = 2
- e — Euler's number (e)
- Digit 13,160 = 2
- φ — Golden ratio (φ)
- Digit 13,160 = 2
- √2 — Pythagoras's (√2)
- Digit 13,160 = 3
- ln 2 — Natural log of 2
- Digit 13,160 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,160 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13160, here are decompositions:
- 13 + 13147 = 13160
- 61 + 13099 = 13160
- 67 + 13093 = 13160
- 97 + 13063 = 13160
- 127 + 13033 = 13160
- 151 + 13009 = 13160
- 157 + 13003 = 13160
- 181 + 12979 = 13160
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8D A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.104.
- Address
- 0.0.51.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.104
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,160 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -17¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +21¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -16¢)
The digit sequence 13160 first appears in π at position 43,308 of the decimal expansion (the 43,308ordinal-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.