20,180
20,180 is a composite number, even.
20,180 (twenty thousand one hundred eighty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 1,009. Its proper divisors sum to 22,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4ED4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 8,102
- Recamán's sequence
- a(5,043) = 20,180
- Square (n²)
- 407,232,400
- Cube (n³)
- 8,217,949,832,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 42,420
- φ(n) — Euler's totient
- 8,064
- Sum of prime factors
- 1,018
Primality
Prime factorization: 2 2 × 5 × 1009
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√20,180 = [142; (17, 1, 3, 17, 1, 1, 70, 1, 1, 17, 3, 1, 17, 284)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- twenty thousand one hundred eighty
- Ordinal
- 20180th
- Binary
- 100111011010100
- Octal
- 47324
- Hexadecimal
- 0x4ED4
- Base64
- TtQ=
- One's complement
- 45,355 (16-bit)
- Scientific notation
- 2.018 × 10⁴
- As a duration
- 20,180 s = 5 hours, 36 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵κρπʹ
- Mayan (base 20)
- 𝋢·𝋪·𝋩·𝋠
- Chinese
- 二萬零一百八十
- Chinese (financial)
- 貳萬零壹佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 20,180 = 9
- e — Euler's number (e)
- Digit 20,180 = 1
- φ — Golden ratio (φ)
- Digit 20,180 = 3
- √2 — Pythagoras's (√2)
- Digit 20,180 = 0
- ln 2 — Natural log of 2
- Digit 20,180 = 2
- γ — Euler-Mascheroni (γ)
- Digit 20,180 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20180, here are decompositions:
- 3 + 20177 = 20180
- 7 + 20173 = 20180
- 19 + 20161 = 20180
- 31 + 20149 = 20180
- 37 + 20143 = 20180
- 67 + 20113 = 20180
- 73 + 20107 = 20180
- 79 + 20101 = 20180
Showing the first eight; more decompositions exist.
UTF-8 encoding: E4 BB 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.212.
- Address
- 0.0.78.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.78.212
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 20180 first appears in π at position 69,744 of the decimal expansion (the 69,744ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.