13,090
13,090 is a composite number, even.
13,090 (thirteen thousand ninety) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 11 × 17. Its proper divisors sum to 18,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3322.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 9,031
- Recamán's sequence
- a(48,095) = 13,090
- Square (n²)
- 171,348,100
- Cube (n³)
- 2,242,946,629,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 31,104
- φ(n) — Euler's totient
- 3,840
- Sum of prime factors
- 42
Primality
Prime factorization: 2 × 5 × 7 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,090 = [114; (2, 2, 3, 14, 1, 24, 2, 24, 1, 14, 3, 2, 2, 228)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand ninety
- Ordinal
- 13090th
- Binary
- 11001100100010
- Octal
- 31442
- Hexadecimal
- 0x3322
- Base64
- MyI=
- One's complement
- 52,445 (16-bit)
- Scientific notation
- 1.309 × 10⁴
- As a duration
- 13,090 s = 3 hours, 38 minutes, 10 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγϟʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋮·𝋪
- Chinese
- 一萬三千零九十
- Chinese (financial)
- 壹萬參仟零玖拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,090 = 0
- e — Euler's number (e)
- Digit 13,090 = 9
- φ — Golden ratio (φ)
- Digit 13,090 = 7
- √2 — Pythagoras's (√2)
- Digit 13,090 = 0
- ln 2 — Natural log of 2
- Digit 13,090 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,090 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13090, here are decompositions:
- 41 + 13049 = 13090
- 47 + 13043 = 13090
- 53 + 13037 = 13090
- 83 + 13007 = 13090
- 89 + 13001 = 13090
- 107 + 12983 = 13090
- 131 + 12959 = 13090
- 137 + 12953 = 13090
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8C A2 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.34.
- Address
- 0.0.51.34
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.34
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,090 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -26¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +11¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -25¢)
The digit sequence 13090 first appears in π at position 56,102 of the decimal expansion (the 56,102ordinal-suffix:nd 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.