460,320
460,320 is a composite number, even.
460,320 (four hundred sixty thousand three hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7 × 137. Its proper divisors sum to 1,208,928, more than the number itself, making it an abundant number. It is the 959th triangular number. Written other ways, in hexadecimal, 0x70620.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,064
- Square (n²)
- 211,894,502,400
- Cube (n³)
- 97,539,277,344,768,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,669,248
- φ(n) — Euler's totient
- 104,448
- Sum of prime factors
- 162
Primality
Prime factorization: 2 5 × 3 × 5 × 7 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√460,320 = [678; (2, 7, 1, 1, 8, 339, 8, 1, 1, 7, 2, 1356)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty thousand three hundred twenty
- Ordinal
- 460320th
- Binary
- 1110000011000100000
- Octal
- 1603040
- Hexadecimal
- 0x70620
- Base64
- BwYg
- One's complement
- 4,294,506,975 (32-bit)
- Scientific notation
- 4.6032 × 10⁵
- As a duration
- 460,320 s = 5 days, 7 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξτκʹ
- Chinese
- 四十六萬零三百二十
- Chinese (financial)
- 肆拾陸萬零參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460320, here are decompositions:
- 19 + 460301 = 460320
- 23 + 460297 = 460320
- 31 + 460289 = 460320
- 53 + 460267 = 460320
- 73 + 460247 = 460320
- 89 + 460231 = 460320
- 103 + 460217 = 460320
- 109 + 460211 = 460320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.6.32.
- Address
- 0.7.6.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.6.32
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 460,320 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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.