10,440
10,440 is a composite number, even.
10,440 (ten thousand four hundred forty) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 29. Its proper divisors sum to 24,660, more than the number itself, making it an abundant number. It is the 144th triangular number. Written other ways, in hexadecimal, 0x28C8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,401
- Recamán's sequence
- a(50,639) = 10,440
- Square (n²)
- 108,993,600
- Cube (n³)
- 1,137,893,184,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 35,100
- φ(n) — Euler's totient
- 2,688
- Sum of prime factors
- 46
Primality
Prime factorization: 2 3 × 3 2 × 5 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,440 = [102; (5, 1, 2, 22, 2, 1, 5, 204)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand four hundred forty
- Ordinal
- 10440th
- Binary
- 10100011001000
- Octal
- 24310
- Hexadecimal
- 0x28C8
- Base64
- KMg=
- One's complement
- 55,095 (16-bit)
- Scientific notation
- 1.044 × 10⁴
- As a duration
- 10,440 s = 2 hours, 54 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιυμʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋢·𝋠
- Chinese
- 一萬零四百四十
- Chinese (financial)
- 壹萬零肆佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,440 = 4
- e — Euler's number (e)
- Digit 10,440 = 8
- φ — Golden ratio (φ)
- Digit 10,440 = 0
- √2 — Pythagoras's (√2)
- Digit 10,440 = 0
- ln 2 — Natural log of 2
- Digit 10,440 = 9
- γ — Euler-Mascheroni (γ)
- Digit 10,440 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10440, here are decompositions:
- 7 + 10433 = 10440
- 11 + 10429 = 10440
- 13 + 10427 = 10440
- 41 + 10399 = 10440
- 71 + 10369 = 10440
- 83 + 10357 = 10440
- 97 + 10343 = 10440
- 103 + 10337 = 10440
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 A3 88 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.200.
- Address
- 0.0.40.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.40.200
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,440 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -18¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +20¢)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -17¢)
The digit sequence 10440 first appears in π at position 72,643 of the decimal expansion (the 72,643ordinal-suffix:rd 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°.