10,840
10,840 is a composite number, even.
10,840 (ten thousand eight hundred forty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 271. Its proper divisors sum to 13,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,801
- Recamán's sequence
- a(174,579) = 10,840
- Square (n²)
- 117,505,600
- Cube (n³)
- 1,273,760,704,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 24,480
- φ(n) — Euler's totient
- 4,320
- Sum of prime factors
- 282
Primality
Prime factorization: 2 3 × 5 × 271
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,840 = [104; (8, 1, 2, 22, 1, 3, 1, 3, 2, 4, 1, 1, 1, 3, 13, 1, 1, 1, 1, 4, 1, 1, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand eight hundred forty
- Ordinal
- 10840th
- Binary
- 10101001011000
- Octal
- 25130
- Hexadecimal
- 0x2A58
- Base64
- Klg=
- One's complement
- 54,695 (16-bit)
- Scientific notation
- 1.084 × 10⁴
- As a duration
- 10,840 s = 3 hours, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιωμʹ
- Mayan (base 20)
- 𝋡·𝋧·𝋢·𝋠
- Chinese
- 一萬零八百四十
- Chinese (financial)
- 壹萬零捌佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,840 = 2
- e — Euler's number (e)
- Digit 10,840 = 9
- φ — Golden ratio (φ)
- Digit 10,840 = 8
- √2 — Pythagoras's (√2)
- Digit 10,840 = 8
- ln 2 — Natural log of 2
- Digit 10,840 = 8
- γ — Euler-Mascheroni (γ)
- Digit 10,840 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10840, here are decompositions:
- 3 + 10837 = 10840
- 41 + 10799 = 10840
- 59 + 10781 = 10840
- 101 + 10739 = 10840
- 107 + 10733 = 10840
- 131 + 10709 = 10840
- 149 + 10691 = 10840
- 173 + 10667 = 10840
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 A9 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.88.
- Address
- 0.0.42.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.42.88
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,840 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +47¢ — about midway to F9)
- Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -15¢)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +49¢ — about midway to F♯9)
The digit sequence 10840 first appears in π at position 364,772 of the decimal expansion (the 364,772ordinal-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.