180,180
180,180 is a composite number, even.
180,180 (one hundred eighty thousand one hundred eighty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2² × 3² × 5 × 7 × 11 × 13. Its proper divisors sum to 553,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2BFD4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 81,081
- Flips to (rotate 180°)
- 81,081
- Recamán's sequence
- a(465,367) = 180,180
- Square (n²)
- 32,464,832,400
- Cube (n³)
- 5,849,513,501,832,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 733,824
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 46
Primality
Prime factorization: 2 2 × 3 2 × 5 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,180 = [424; (2, 9, 1, 52, 6, 2, 6, 52, 1, 9, 2, 848)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand one hundred eighty
- Ordinal
- 180180th
- Binary
- 101011111111010100
- Octal
- 537724
- Hexadecimal
- 0x2BFD4
- Base64
- Ar/U
- One's complement
- 4,294,787,115 (32-bit)
- Scientific notation
- 1.8018 × 10⁵
- As a duration
- 180,180 s = 2 days, 2 hours, 3 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρπρπʹ
- Chinese
- 一十八萬零一百八十
- Chinese (financial)
- 壹拾捌萬零壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180180, here are decompositions:
- 19 + 180161 = 180180
- 43 + 180137 = 180180
- 83 + 180097 = 180180
- 103 + 180077 = 180180
- 107 + 180073 = 180180
- 109 + 180071 = 180180
- 127 + 180053 = 180180
- 137 + 180043 = 180180
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AB BF 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.212.
- Address
- 0.2.191.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.191.212
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 180,180 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 180180 first appears in π at position 59,823 of the decimal expansion (the 59,823ordinal-suffix:rd 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°.