461,120
461,120 is a composite number, even.
461,120 (four hundred sixty-one thousand one hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 11 × 131. Its proper divisors sum to 745,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70940.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 21,164
- Square (n²)
- 212,631,654,400
- Cube (n³)
- 98,048,708,476,928,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,207,008
- φ(n) — Euler's totient
- 166,400
- Sum of prime factors
- 159
Primality
Prime factorization: 2 6 × 5 × 11 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√461,120 = [679; (17, 5, 4, 16, 1, 2, 1, 4, 1, 1, 3, 1, 3, 339, 3, 1, 3, 1, 1, 4, 1, 2, 1, 16, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-one thousand one hundred twenty
- Ordinal
- 461120th
- Binary
- 1110000100101000000
- Octal
- 1604500
- Hexadecimal
- 0x70940
- Base64
- BwlA
- One's complement
- 4,294,506,175 (32-bit)
- Scientific notation
- 4.6112 × 10⁵
- As a duration
- 461,120 s = 5 days, 8 hours, 5 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξαρκʹ
- Chinese
- 四十六萬一千一百二十
- Chinese (financial)
- 肆拾陸萬壹仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461120, here are decompositions:
- 19 + 461101 = 461120
- 61 + 461059 = 461120
- 67 + 461053 = 461120
- 103 + 461017 = 461120
- 109 + 461011 = 461120
- 139 + 460981 = 461120
- 151 + 460969 = 461120
- 229 + 460891 = 461120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.9.64.
- Address
- 0.7.9.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.9.64
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 461,120 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 461120 first appears in π at position 491,239 of the decimal expansion (the 491,239ordinal-suffix:th 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°.