180,080
180,080 is a composite number, even.
180,080 (one hundred eighty thousand eighty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 2,251. Its proper divisors sum to 238,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2BF70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 80,081
- Flips to (rotate 180°)
- 80,081
- Square (n²)
- 32,428,806,400
- Cube (n³)
- 5,839,779,456,512,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 418,872
- φ(n) — Euler's totient
- 72,000
- Sum of prime factors
- 2,264
Primality
Prime factorization: 2 4 × 5 × 2251
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,080 = [424; (2, 1, 3, 1, 3, 2, 11, 1, 1, 20, 5, 1, 1, 2, 1, 41, 1, 2, 1, 1, 5, 20, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand eighty
- Ordinal
- 180080th
- Binary
- 101011111101110000
- Octal
- 537560
- Hexadecimal
- 0x2BF70
- Base64
- Ar9w
- One's complement
- 4,294,787,215 (32-bit)
- Scientific notation
- 1.8008 × 10⁵
- As a duration
- 180,080 s = 2 days, 2 hours, 1 minute, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρππʹ
- Chinese
- 一十八萬零八十
- Chinese (financial)
- 壹拾捌萬零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180080, here are decompositions:
- 3 + 180077 = 180080
- 7 + 180073 = 180080
- 37 + 180043 = 180080
- 73 + 180007 = 180080
- 79 + 180001 = 180080
- 127 + 179953 = 180080
- 157 + 179923 = 180080
- 163 + 179917 = 180080
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AB BD B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.112.
- Address
- 0.2.191.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.191.112
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 180,080 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 180080 first appears in π at position 823,335 of the decimal expansion (the 823,335ordinal-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°.