180,020
180,020 is a composite number, even.
180,020 (one hundred eighty thousand twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 9,001. Its proper divisors sum to 198,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2BF34.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 20,081
- Square (n²)
- 32,407,200,400
- Cube (n³)
- 5,833,944,216,008,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 378,084
- φ(n) — Euler's totient
- 72,000
- Sum of prime factors
- 9,010
Primality
Prime factorization: 2 2 × 5 × 9001
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,020 = [424; (3, 2, 10, 5, 1, 1, 2, 52, 1, 1, 1, 4, 42, 4, 1, 1, 1, 52, 2, 1, 1, 5, 10, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand twenty
- Ordinal
- 180020th
- Binary
- 101011111100110100
- Octal
- 537464
- Hexadecimal
- 0x2BF34
- Base64
- Ar80
- One's complement
- 4,294,787,275 (32-bit)
- Scientific notation
- 1.8002 × 10⁵
- As a duration
- 180,020 s = 2 days, 2 hours, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 · 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆
- Greek (Milesian)
- ͵ρπκʹ
- Chinese
- 一十八萬零二十
- Chinese (financial)
- 壹拾捌萬零貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180020, here are decompositions:
- 13 + 180007 = 180020
- 19 + 180001 = 180020
- 31 + 179989 = 180020
- 67 + 179953 = 180020
- 73 + 179947 = 180020
- 97 + 179923 = 180020
- 103 + 179917 = 180020
- 193 + 179827 = 180020
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AB BC B4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.52.
- Address
- 0.2.191.52
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.191.52
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 180,020 and was likely granted around 1875.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 180020 first appears in π at position 984,335 of the decimal expansion (the 984,335ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.