180,440
180,440 is a composite number, even.
180,440 (one hundred eighty thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 347. Its proper divisors sum to 258,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C0D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 44,081
- Recamán's sequence
- a(464,847) = 180,440
- Square (n²)
- 32,558,593,600
- Cube (n³)
- 5,874,872,629,184,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 438,480
- φ(n) — Euler's totient
- 66,432
- Sum of prime factors
- 371
Primality
Prime factorization: 2 3 × 5 × 13 × 347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,440 = [424; (1, 3, 1, 1, 2, 5, 1, 2, 10, 2, 2, 16, 1, 14, 4, 2, 1, 1, 1, 1, 1, 20, 1, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand four hundred forty
- Ordinal
- 180440th
- Binary
- 101100000011011000
- Octal
- 540330
- Hexadecimal
- 0x2C0D8
- Base64
- AsDY
- One's complement
- 4,294,786,855 (32-bit)
- Scientific notation
- 1.8044 × 10⁵
- As a duration
- 180,440 s = 2 days, 2 hours, 7 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρπυμʹ
- Chinese
- 一十八萬零四百四十
- Chinese (financial)
- 壹拾捌萬零肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180440, here are decompositions:
- 3 + 180437 = 180440
- 61 + 180379 = 180440
- 79 + 180361 = 180440
- 103 + 180337 = 180440
- 109 + 180331 = 180440
- 151 + 180289 = 180440
- 181 + 180259 = 180440
- 193 + 180247 = 180440
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AC 83 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.192.216.
- Address
- 0.2.192.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.192.216
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 180,440 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 180440 first appears in π at position 821,243 of the decimal expansion (the 821,243ordinal-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°.