461,040
461,040 is a composite number, even.
461,040 (four hundred sixty-one thousand forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 17 × 113. Its proper divisors sum to 1,065,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x708F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 40,164
- Square (n²)
- 212,557,881,600
- Cube (n³)
- 97,997,685,732,864,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,526,688
- φ(n) — Euler's totient
- 114,688
- Sum of prime factors
- 146
Primality
Prime factorization: 2 4 × 3 × 5 × 17 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√461,040 = [678; (1, 1356)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-one thousand forty
- Ordinal
- 461040th
- Binary
- 1110000100011110000
- Octal
- 1604360
- Hexadecimal
- 0x708F0
- Base64
- Bwjw
- One's complement
- 4,294,506,255 (32-bit)
- Scientific notation
- 4.6104 × 10⁵
- As a duration
- 461,040 s = 5 days, 8 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξαμʹ
- Chinese
- 四十六萬一千零四十
- Chinese (financial)
- 肆拾陸萬壹仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461040, here are decompositions:
- 23 + 461017 = 461040
- 29 + 461011 = 461040
- 31 + 461009 = 461040
- 53 + 460987 = 461040
- 59 + 460981 = 461040
- 61 + 460979 = 461040
- 67 + 460973 = 461040
- 71 + 460969 = 461040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.8.240.
- Address
- 0.7.8.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.8.240
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 461,040 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 461040 first appears in π at position 671,886 of the decimal expansion (the 671,886ordinal-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°.