465,520
465,520 is a composite number, even.
465,520 (four hundred sixty-five thousand five hundred twenty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 11 × 23². Its proper divisors sum to 768,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71A70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 25,564
- Square (n²)
- 216,708,870,400
- Cube (n³)
- 100,882,313,348,608,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,234,296
- φ(n) — Euler's totient
- 161,920
- Sum of prime factors
- 70
Primality
Prime factorization: 2 4 × 5 × 11 × 23 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√465,520 = [682; (3, 2, 4, 16, 1, 1, 1, 1, 1, 3, 6, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 5, 1, 8, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-five thousand five hundred twenty
- Ordinal
- 465520th
- Binary
- 1110001101001110000
- Octal
- 1615160
- Hexadecimal
- 0x71A70
- Base64
- Bxpw
- One's complement
- 4,294,501,775 (32-bit)
- Scientific notation
- 4.6552 × 10⁵
- As a duration
- 465,520 s = 5 days, 9 hours, 18 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξεφκʹ
- Chinese
- 四十六萬五千五百二十
- Chinese (financial)
- 肆拾陸萬伍仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 465520, here are decompositions:
- 101 + 465419 = 465520
- 113 + 465407 = 465520
- 137 + 465383 = 465520
- 227 + 465293 = 465520
- 239 + 465281 = 465520
- 311 + 465209 = 465520
- 347 + 465173 = 465520
- 353 + 465167 = 465520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.26.112.
- Address
- 0.7.26.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.26.112
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 465,520 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 465520 first appears in π at position 308,351 of the decimal expansion (the 308,351ordinal-suffix:st digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.