12,090
12,090 is a composite number, even.
12,090 (twelve thousand ninety) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 13 × 31. Its proper divisors sum to 20,166, more than the number itself, making it an abundant number. It is the 155th triangular number. Written other ways, in hexadecimal, 0x2F3A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 9,021
- Recamán's sequence
- a(22,604) = 12,090
- Square (n²)
- 146,168,100
- Cube (n³)
- 1,767,172,329,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 32,256
- φ(n) — Euler's totient
- 2,880
- Sum of prime factors
- 54
Primality
Prime factorization: 2 × 3 × 5 × 13 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√12,090 = [109; (1, 20, 1, 218)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- twelve thousand ninety
- Ordinal
- 12090th
- Binary
- 10111100111010
- Octal
- 27472
- Hexadecimal
- 0x2F3A
- Base64
- Lzo=
- One's complement
- 53,445 (16-bit)
- Scientific notation
- 1.209 × 10⁴
- As a duration
- 12,090 s = 3 hours, 21 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιβϟʹ
- Mayan (base 20)
- 𝋡·𝋪·𝋤·𝋪
- Chinese
- 一萬二千零九十
- Chinese (financial)
- 壹萬貳仟零玖拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 12,090 = 2
- e — Euler's number (e)
- Digit 12,090 = 3
- φ — Golden ratio (φ)
- Digit 12,090 = 4
- √2 — Pythagoras's (√2)
- Digit 12,090 = 1
- ln 2 — Natural log of 2
- Digit 12,090 = 2
- γ — Euler-Mascheroni (γ)
- Digit 12,090 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12090, here are decompositions:
- 17 + 12073 = 12090
- 19 + 12071 = 12090
- 41 + 12049 = 12090
- 47 + 12043 = 12090
- 53 + 12037 = 12090
- 79 + 12011 = 12090
- 83 + 12007 = 12090
- 103 + 11987 = 12090
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 BC BA (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.58.
- Address
- 0.0.47.58
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.47.58
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 12,090 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +36¢)
- Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -26¢)
- Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +37¢)
The digit sequence 12090 first appears in π at position 50,944 of the decimal expansion (the 50,944ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.