461,520
461,520 is a composite number, even.
461,520 (four hundred sixty-one thousand five hundred twenty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 641. Its proper divisors sum to 1,090,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70AD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 25,164
- Square (n²)
- 213,000,710,400
- Cube (n³)
- 98,304,087,863,808,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,552,356
- φ(n) — Euler's totient
- 122,880
- Sum of prime factors
- 660
Primality
Prime factorization: 2 4 × 3 2 × 5 × 641
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√461,520 = [679; (2, 1, 5, 11, 19, 21, 5, 1, 1, 1, 3, 7, 3, 1, 1, 1, 5, 21, 19, 11, 5, 1, 2, 1358)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-one thousand five hundred twenty
- Ordinal
- 461520th
- Binary
- 1110000101011010000
- Octal
- 1605320
- Hexadecimal
- 0x70AD0
- Base64
- BwrQ
- One's complement
- 4,294,505,775 (32-bit)
- Scientific notation
- 4.6152 × 10⁵
- As a duration
- 461,520 s = 5 days, 8 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξαφκʹ
- Chinese
- 四十六萬一千五百二十
- Chinese (financial)
- 肆拾陸萬壹仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461520, here are decompositions:
- 13 + 461507 = 461520
- 41 + 461479 = 461520
- 53 + 461467 = 461520
- 79 + 461441 = 461520
- 83 + 461437 = 461520
- 107 + 461413 = 461520
- 109 + 461411 = 461520
- 113 + 461407 = 461520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.10.208.
- Address
- 0.7.10.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.10.208
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 461,520 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 461520 first appears in π at position 236,034 of the decimal expansion (the 236,034ordinal-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°.