460,020
460,020 is a composite number, even.
460,020 (four hundred sixty thousand twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 11 × 17 × 41. Its proper divisors sum to 1,064,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x704F4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 20,064
- Square (n²)
- 211,618,400,400
- Cube (n³)
- 97,348,696,552,008,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,524,096
- φ(n) — Euler's totient
- 102,400
- Sum of prime factors
- 81
Primality
Prime factorization: 2 2 × 3 × 5 × 11 × 17 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√460,020 = [678; (4, 27, 2, 3, 3, 1, 3, 84, 1, 1, 15, 1, 1, 1, 4, 1, 1, 1, 15, 1, 1, 84, 3, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty thousand twenty
- Ordinal
- 460020th
- Binary
- 1110000010011110100
- Octal
- 1602364
- Hexadecimal
- 0x704F4
- Base64
- BwT0
- One's complement
- 4,294,507,275 (32-bit)
- Scientific notation
- 4.6002 × 10⁵
- As a duration
- 460,020 s = 5 days, 7 hours, 47 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆
- Greek (Milesian)
- ͵υξκʹ
- Chinese
- 四十六萬零二十
- Chinese (financial)
- 肆拾陸萬零貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460020, here are decompositions:
- 7 + 460013 = 460020
- 59 + 459961 = 460020
- 83 + 459937 = 460020
- 97 + 459923 = 460020
- 107 + 459913 = 460020
- 137 + 459883 = 460020
- 173 + 459847 = 460020
- 179 + 459841 = 460020
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.4.244.
- Address
- 0.7.4.244
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.4.244
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 460,020 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 460020 first appears in π at position 112,971 of the decimal expansion (the 112,971ordinal-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°.