490,320
490,320 is a composite number, even.
490,320 (four hundred ninety thousand three hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 5 × 227. Its proper divisors sum to 1,206,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77B50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,094
- Square (n²)
- 240,413,702,400
- Cube (n³)
- 117,879,646,560,768,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,696,320
- φ(n) — Euler's totient
- 130,176
- Sum of prime factors
- 249
Primality
Prime factorization: 2 4 × 3 3 × 5 × 227
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√490,320 = [700; (4, 2, 1, 1, 1, 21, 3, 1, 16, 1, 3, 21, 1, 1, 1, 2, 4, 1400)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety thousand three hundred twenty
- Ordinal
- 490320th
- Binary
- 1110111101101010000
- Octal
- 1675520
- Hexadecimal
- 0x77B50
- Base64
- B3tQ
- One's complement
- 4,294,476,975 (32-bit)
- Scientific notation
- 4.9032 × 10⁵
- As a duration
- 490,320 s = 5 days, 16 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υϟτκʹ
- Chinese
- 四十九萬零三百二十
- Chinese (financial)
- 肆拾玖萬零參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490320, here are decompositions:
- 7 + 490313 = 490320
- 11 + 490309 = 490320
- 37 + 490283 = 490320
- 43 + 490277 = 490320
- 53 + 490267 = 490320
- 71 + 490249 = 490320
- 73 + 490247 = 490320
- 79 + 490241 = 490320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.123.80.
- Address
- 0.7.123.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.123.80
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 490,320 and was likely granted around 1892.
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°.