13,520
13,520 is a composite number, even.
13,520 (thirteen thousand five hundred twenty) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5 × 13². Its proper divisors sum to 20,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x34D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 2,531
- Recamán's sequence
- a(47,235) = 13,520
- Square (n²)
- 182,790,400
- Cube (n³)
- 2,471,326,208,000
- Divisor count
- 30
- σ(n) — sum of divisors
- 34,038
- φ(n) — Euler's totient
- 4,992
- Sum of prime factors
- 39
Primality
Prime factorization: 2 4 × 5 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,520 = [116; (3, 1, 1, 1, 2, 3, 3, 1, 13, 1, 3, 3, 2, 1, 1, 1, 3, 232)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand five hundred twenty
- Ordinal
- 13520th
- Binary
- 11010011010000
- Octal
- 32320
- Hexadecimal
- 0x34D0
- Base64
- NNA=
- One's complement
- 52,015 (16-bit)
- Scientific notation
- 1.352 × 10⁴
- As a duration
- 13,520 s = 3 hours, 45 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ιγφκʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋰·𝋠
- Chinese
- 一萬三千五百二十
- Chinese (financial)
- 壹萬參仟伍佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,520 = 8
- e — Euler's number (e)
- Digit 13,520 = 4
- φ — Golden ratio (φ)
- Digit 13,520 = 4
- √2 — Pythagoras's (√2)
- Digit 13,520 = 0
- ln 2 — Natural log of 2
- Digit 13,520 = 0
- γ — Euler-Mascheroni (γ)
- Digit 13,520 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13520, here are decompositions:
- 7 + 13513 = 13520
- 43 + 13477 = 13520
- 79 + 13441 = 13520
- 103 + 13417 = 13520
- 109 + 13411 = 13520
- 139 + 13381 = 13520
- 181 + 13339 = 13520
- 193 + 13327 = 13520
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 93 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.208.
- Address
- 0.0.52.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.208
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,520 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +30¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -33¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +31¢)
The digit sequence 13520 first appears in π at position 82,954 of the decimal expansion (the 82,954ordinal-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.