13,240
13,240 is a composite number, even.
13,240 (thirteen thousand two hundred forty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 331. Its proper divisors sum to 16,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,231
- Recamán's sequence
- a(47,795) = 13,240
- Square (n²)
- 175,297,600
- Cube (n³)
- 2,320,940,224,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 29,880
- φ(n) — Euler's totient
- 5,280
- Sum of prime factors
- 342
Primality
Prime factorization: 2 3 × 5 × 331
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,240 = [115; (15, 2, 1, 24, 1, 8, 1, 1, 1, 2, 5, 2, 1, 1, 1, 8, 1, 24, 1, 2, 15, 230)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand two hundred forty
- Ordinal
- 13240th
- Binary
- 11001110111000
- Octal
- 31670
- Hexadecimal
- 0x33B8
- Base64
- M7g=
- One's complement
- 52,295 (16-bit)
- Scientific notation
- 1.324 × 10⁴
- As a duration
- 13,240 s = 3 hours, 40 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγσμʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋢·𝋠
- Chinese
- 一萬三千二百四十
- Chinese (financial)
- 壹萬參仟貳佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,240 = 0
- e — Euler's number (e)
- Digit 13,240 = 2
- φ — Golden ratio (φ)
- Digit 13,240 = 3
- √2 — Pythagoras's (√2)
- Digit 13,240 = 2
- ln 2 — Natural log of 2
- Digit 13,240 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,240 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13240, here are decompositions:
- 11 + 13229 = 13240
- 23 + 13217 = 13240
- 53 + 13187 = 13240
- 89 + 13151 = 13240
- 113 + 13127 = 13240
- 131 + 13109 = 13240
- 137 + 13103 = 13240
- 191 + 13049 = 13240
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8E B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.184.
- Address
- 0.0.51.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.184
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,240 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -6¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +31¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -5¢)
The digit sequence 13240 first appears in π at position 122,498 of the decimal expansion (the 122,498ordinal-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.