505,440
505,440 is a composite number, even.
505,440 (five hundred five thousand four hundred forty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3⁵ × 5 × 13. Its proper divisors sum to 1,420,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B660.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,505
- Square (n²)
- 255,469,593,600
- Cube (n³)
- 129,124,551,389,184,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 1,926,288
- φ(n) — Euler's totient
- 124,416
- Sum of prime factors
- 43
Primality
Prime factorization: 2 5 × 3 5 × 5 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√505,440 = [710; (1, 16, 1, 1, 4, 17, 3, 157, 1, 1, 1, 16, 1, 7, 1, 16, 1, 1, 1, 157, 3, 17, 4, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- five hundred five thousand four hundred forty
- Ordinal
- 505440th
- Binary
- 1111011011001100000
- Octal
- 1733140
- Hexadecimal
- 0x7B660
- Base64
- B7Zg
- One's complement
- 4,294,461,855 (32-bit)
- Scientific notation
- 5.0544 × 10⁵
- As a duration
- 505,440 s = 5 days, 20 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φευμʹ
- Chinese
- 五十萬五千四百四十
- Chinese (financial)
- 伍拾萬伍仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 505440, here are decompositions:
- 11 + 505429 = 505440
- 29 + 505411 = 505440
- 31 + 505409 = 505440
- 41 + 505399 = 505440
- 71 + 505369 = 505440
- 73 + 505367 = 505440
- 83 + 505357 = 505440
- 101 + 505339 = 505440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.182.96.
- Address
- 0.7.182.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.182.96
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 505,440 and was likely granted around 1893.
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°.