509,040
509,040 is a composite number, even.
509,040 (five hundred nine thousand forty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 7 × 101. Its proper divisors sum to 1,464,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C470.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 40,905
- Square (n²)
- 259,121,721,600
- Cube (n³)
- 131,903,321,163,264,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,973,088
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 127
Primality
Prime factorization: 2 4 × 3 2 × 5 × 7 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√509,040 = [713; (2, 7, 1, 16, 1, 2, 1, 3, 4, 1, 5, 1, 1, 3, 1, 1, 1, 11, 6, 1, 1, 4, 2, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- five hundred nine thousand forty
- Ordinal
- 509040th
- Binary
- 1111100010001110000
- Octal
- 1742160
- Hexadecimal
- 0x7C470
- Base64
- B8Rw
- One's complement
- 4,294,458,255 (32-bit)
- Scientific notation
- 5.0904 × 10⁵
- As a duration
- 509,040 s = 5 days, 21 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φθμʹ
- Chinese
- 五十萬九千零四十
- Chinese (financial)
- 伍拾萬玖仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 509040, here are decompositions:
- 13 + 509027 = 509040
- 17 + 509023 = 509040
- 53 + 508987 = 509040
- 67 + 508973 = 509040
- 71 + 508969 = 509040
- 79 + 508961 = 509040
- 83 + 508957 = 509040
- 89 + 508951 = 509040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.196.112.
- Address
- 0.7.196.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.196.112
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 509,040 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°.