528,240
528,240 is a composite number, even.
528,240 (five hundred twenty-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 31 × 71. Its proper divisors sum to 1,185,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x80F70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 42,825
- Square (n²)
- 279,037,497,600
- Cube (n³)
- 147,398,767,732,224,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,714,176
- φ(n) — Euler's totient
- 134,400
- Sum of prime factors
- 118
Primality
Prime factorization: 2 4 × 3 × 5 × 31 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√528,240 = [726; (1, 4, 32, 1, 5, 8, 1, 11, 8, 5, 1, 2, 2, 90, 2, 2, 1, 5, 8, 11, 1, 8, 5, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-eight thousand two hundred forty
- Ordinal
- 528240th
- Binary
- 10000000111101110000
- Octal
- 2007560
- Hexadecimal
- 0x80F70
- Base64
- CA9w
- One's complement
- 4,294,439,055 (32-bit)
- Scientific notation
- 5.2824 × 10⁵
- As a duration
- 528,240 s = 6 days, 2 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φκησμʹ
- Chinese
- 五十二萬八千二百四十
- Chinese (financial)
- 伍拾貳萬捌仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 528240, here are decompositions:
- 17 + 528223 = 528240
- 23 + 528217 = 528240
- 43 + 528197 = 528240
- 73 + 528167 = 528240
- 103 + 528137 = 528240
- 109 + 528131 = 528240
- 113 + 528127 = 528240
- 149 + 528091 = 528240
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.15.112.
- Address
- 0.8.15.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.15.112
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 528,240 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 528240 first appears in π at position 711,488 of the decimal expansion (the 711,488ordinal-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°.