20,480
20,480 is a composite number, even.
20,480 (twenty thousand four hundred eighty) is an even 5-digit number. It is a composite number with 26 divisors, and factors as 2¹² × 5. Its proper divisors sum to 28,666, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x5000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 8,402
- Recamán's sequence
- a(86,256) = 20,480
- Square (n²)
- 419,430,400
- Cube (n³)
- 8,589,934,592,000
- Divisor count
- 26
- σ(n) — sum of divisors
- 49,146
- φ(n) — Euler's totient
- 8,192
- Sum of prime factors
- 29
Primality
Prime factorization: 2 12 × 5
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√20,480 = [143; (9, 4, 2, 1, 3, 2, 1, 17, 5, 6, 1, 3, 1, 1, 1, 1, 3, 71, 3, 1, 1, 1, 1, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- twenty thousand four hundred eighty
- Ordinal
- 20480th
- Binary
- 101000000000000
- Octal
- 50000
- Hexadecimal
- 0x5000
- Base64
- UAA=
- One's complement
- 45,055 (16-bit)
- Scientific notation
- 2.048 × 10⁴
- As a duration
- 20,480 s = 5 hours, 41 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵κυπʹ
- Mayan (base 20)
- 𝋢·𝋫·𝋤·𝋠
- Chinese
- 二萬零四百八十
- Chinese (financial)
- 貳萬零肆佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 20,480 = 5
- e — Euler's number (e)
- Digit 20,480 = 8
- φ — Golden ratio (φ)
- Digit 20,480 = 7
- √2 — Pythagoras's (√2)
- Digit 20,480 = 5
- ln 2 — Natural log of 2
- Digit 20,480 = 2
- γ — Euler-Mascheroni (γ)
- Digit 20,480 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20480, here are decompositions:
- 3 + 20477 = 20480
- 37 + 20443 = 20480
- 73 + 20407 = 20480
- 127 + 20353 = 20480
- 139 + 20341 = 20480
- 157 + 20323 = 20480
- 193 + 20287 = 20480
- 211 + 20269 = 20480
Showing the first eight; more decompositions exist.
UTF-8 encoding: E5 80 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.80.0.
- Address
- 0.0.80.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.80.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 20480 first appears in π at position 503,881 of the decimal expansion (the 503,881ordinal-suffix:st 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.