10,480
10,480 is a composite number, even.
10,480 (ten thousand four hundred eighty) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 131. Its proper divisors sum to 14,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 8,401
- Recamán's sequence
- a(50,559) = 10,480
- Square (n²)
- 109,830,400
- Cube (n³)
- 1,151,022,592,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 24,552
- φ(n) — Euler's totient
- 4,160
- Sum of prime factors
- 144
Primality
Prime factorization: 2 4 × 5 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,480 = [102; (2, 1, 2, 4, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 4, 2, 1, 2, 204)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand four hundred eighty
- Ordinal
- 10480th
- Binary
- 10100011110000
- Octal
- 24360
- Hexadecimal
- 0x28F0
- Base64
- KPA=
- One's complement
- 55,055 (16-bit)
- Scientific notation
- 1.048 × 10⁴
- As a duration
- 10,480 s = 2 hours, 54 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιυπʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋤·𝋠
- Chinese
- 一萬零四百八十
- Chinese (financial)
- 壹萬零肆佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,480 = 7
- e — Euler's number (e)
- Digit 10,480 = 1
- φ — Golden ratio (φ)
- Digit 10,480 = 6
- √2 — Pythagoras's (√2)
- Digit 10,480 = 0
- ln 2 — Natural log of 2
- Digit 10,480 = 4
- γ — Euler-Mascheroni (γ)
- Digit 10,480 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10480, here are decompositions:
- 3 + 10477 = 10480
- 17 + 10463 = 10480
- 23 + 10457 = 10480
- 47 + 10433 = 10480
- 53 + 10427 = 10480
- 89 + 10391 = 10480
- 137 + 10343 = 10480
- 149 + 10331 = 10480
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 A3 B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.240.
- Address
- 0.0.40.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.40.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,480 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -11¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -10¢)
The digit sequence 10480 first appears in π at position 219,277 of the decimal expansion (the 219,277ordinal-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.