460,460
460,460 is a composite number, even.
460,460 (four hundred sixty thousand four hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 5 × 7 × 11 × 13 × 23. Its proper divisors sum to 894,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x706AC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 64,064
- Square (n²)
- 212,023,411,600
- Cube (n³)
- 97,628,300,105,336,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,354,752
- φ(n) — Euler's totient
- 126,720
- Sum of prime factors
- 63
Primality
Prime factorization: 2 2 × 5 × 7 × 11 × 13 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√460,460 = [678; (1, 1, 2, 1, 33, 4, 1, 1, 1, 338, 1, 1, 1, 4, 33, 1, 2, 1, 1, 1356)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty thousand four hundred sixty
- Ordinal
- 460460th
- Binary
- 1110000011010101100
- Octal
- 1603254
- Hexadecimal
- 0x706AC
- Base64
- Bwas
- One's complement
- 4,294,506,835 (32-bit)
- Scientific notation
- 4.6046 × 10⁵
- As a duration
- 460,460 s = 5 days, 7 hours, 54 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξυξʹ
- Chinese
- 四十六萬零四百六十
- Chinese (financial)
- 肆拾陸萬零肆佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460460, here are decompositions:
- 43 + 460417 = 460460
- 67 + 460393 = 460460
- 73 + 460387 = 460460
- 163 + 460297 = 460460
- 193 + 460267 = 460460
- 229 + 460231 = 460460
- 271 + 460189 = 460460
- 313 + 460147 = 460460
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.6.172.
- Address
- 0.7.6.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.6.172
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 460,460 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 460460 first appears in π at position 388,171 of the decimal expansion (the 388,171ordinal-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°.