531,440
531,440 is a composite number, even.
531,440 (five hundred thirty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 13 × 73. Its proper divisors sum to 1,010,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x81BF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 44,135
- Square (n²)
- 282,428,473,600
- Cube (n³)
- 150,093,788,009,984,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,541,568
- φ(n) — Euler's totient
- 165,888
- Sum of prime factors
- 106
Primality
Prime factorization: 2 4 × 5 × 7 × 13 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√531,440 = [728; (1, 1456)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirty-one thousand four hundred forty
- Ordinal
- 531440th
- Binary
- 10000001101111110000
- Octal
- 2015760
- Hexadecimal
- 0x81BF0
- Base64
- CBvw
- One's complement
- 4,294,435,855 (32-bit)
- Scientific notation
- 5.3144 × 10⁵
- As a duration
- 531,440 s = 6 days, 3 hours, 37 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φλαυμʹ
- Chinese
- 五十三萬一千四百四十
- Chinese (financial)
- 伍拾參萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 531440, here are decompositions:
- 97 + 531343 = 531440
- 103 + 531337 = 531440
- 109 + 531331 = 531440
- 211 + 531229 = 531440
- 271 + 531169 = 531440
- 277 + 531163 = 531440
- 307 + 531133 = 531440
- 337 + 531103 = 531440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.27.240.
- Address
- 0.8.27.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.27.240
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 531,440 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 531440 first appears in π at position 490,710 of the decimal expansion (the 490,710ordinal-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°.