480,240
480,240 is a composite number, even.
480,240 (four hundred eighty thousand two hundred forty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 23 × 29. Its proper divisors sum to 1,260,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x753F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 42,084
- Square (n²)
- 230,630,457,600
- Cube (n³)
- 110,757,970,957,824,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,740,960
- φ(n) — Euler's totient
- 118,272
- Sum of prime factors
- 71
Primality
Prime factorization: 2 4 × 3 2 × 5 × 23 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,240 = [692; (1, 152, 1, 1384)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty thousand two hundred forty
- Ordinal
- 480240th
- Binary
- 1110101001111110000
- Octal
- 1651760
- Hexadecimal
- 0x753F0
- Base64
- B1Pw
- One's complement
- 4,294,487,055 (32-bit)
- Scientific notation
- 4.8024 × 10⁵
- As a duration
- 480,240 s = 5 days, 13 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπσμʹ
- Chinese
- 四十八萬零二百四十
- Chinese (financial)
- 肆拾捌萬零貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480240, here are decompositions:
- 31 + 480209 = 480240
- 37 + 480203 = 480240
- 71 + 480169 = 480240
- 73 + 480167 = 480240
- 83 + 480157 = 480240
- 97 + 480143 = 480240
- 107 + 480133 = 480240
- 127 + 480113 = 480240
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.240.
- Address
- 0.7.83.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.83.240
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 480,240 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°.