180,420
180,420 is a composite number, even.
180,420 (one hundred eighty thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 31 × 97. Its proper divisors sum to 346,428, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C0C4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 24,081
- Recamán's sequence
- a(464,887) = 180,420
- Square (n²)
- 32,551,376,400
- Cube (n³)
- 5,872,919,330,088,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 526,848
- φ(n) — Euler's totient
- 46,080
- Sum of prime factors
- 140
Primality
Prime factorization: 2 2 × 3 × 5 × 31 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,420 = [424; (1, 3, 6, 1, 7, 1, 76, 2, 1, 12, 1, 1, 1, 1, 6, 1, 1, 6, 2, 16, 1, 6, 1, 5, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand four hundred twenty
- Ordinal
- 180420th
- Binary
- 101100000011000100
- Octal
- 540304
- Hexadecimal
- 0x2C0C4
- Base64
- AsDE
- One's complement
- 4,294,786,875 (32-bit)
- Scientific notation
- 1.8042 × 10⁵
- As a duration
- 180,420 s = 2 days, 2 hours, 7 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρπυκʹ
- Chinese
- 一十八萬零四百二十
- Chinese (financial)
- 壹拾捌萬零肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180420, here are decompositions:
- 7 + 180413 = 180420
- 29 + 180391 = 180420
- 41 + 180379 = 180420
- 59 + 180361 = 180420
- 73 + 180347 = 180420
- 83 + 180337 = 180420
- 89 + 180331 = 180420
- 103 + 180317 = 180420
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AC 83 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.192.196.
- Address
- 0.2.192.196
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.192.196
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 180,420 and was likely granted around 1875.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.