468,720
468,720 is a composite number, even.
468,720 (four hundred sixty-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3³ × 5 × 7 × 31. Its proper divisors sum to 1,435,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x726F0.
Interestingness
Properties
Primality
Prime factorization: 2 4 × 3 3 × 5 × 7 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√468,720 = [684; (1, 1, 1, 2, 2, 9, 11, 2, 2, 151, 1, 2, 1, 3, 1, 84, 1, 3, 1, 2, 1, 151, 2, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-eight thousand seven hundred twenty
- Ordinal
- 468720th
- Binary
- 1110010011011110000
- Octal
- 1623360
- Hexadecimal
- 0x726F0
- Base64
- Bybw
- One's complement
- 4,294,498,575 (32-bit)
- Scientific notation
- 4.6872 × 10⁵
- As a duration
- 468,720 s = 5 days, 10 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξηψκʹ
- Chinese
- 四十六萬八千七百二十
- Chinese (financial)
- 肆拾陸萬捌仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 468720, here are decompositions:
- 11 + 468709 = 468720
- 17 + 468703 = 468720
- 23 + 468697 = 468720
- 29 + 468691 = 468720
- 37 + 468683 = 468720
- 53 + 468667 = 468720
- 59 + 468661 = 468720
- 67 + 468653 = 468720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.38.240.
- Address
- 0.7.38.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.38.240
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 468,720 and was likely granted around 1891.
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°.