528,120
528,120 is a composite number, even.
528,120 (five hundred twenty-eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 5 × 163. Its proper divisors sum to 1,257,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x80EF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 21,825
- Square (n²)
- 278,910,734,400
- Cube (n³)
- 147,298,337,051,328,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,785,960
- φ(n) — Euler's totient
- 139,968
- Sum of prime factors
- 186
Primality
Prime factorization: 2 3 × 3 4 × 5 × 163
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√528,120 = [726; (1, 2, 1, 1, 4, 9, 1, 4, 7, 1, 6, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 161, 12, 1, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-eight thousand one hundred twenty
- Ordinal
- 528120th
- Binary
- 10000000111011111000
- Octal
- 2007370
- Hexadecimal
- 0x80EF8
- Base64
- CA74
- One's complement
- 4,294,439,175 (32-bit)
- Scientific notation
- 5.2812 × 10⁵
- As a duration
- 528,120 s = 6 days, 2 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵φκηρκʹ
- Chinese
- 五十二萬八千一百二十
- Chinese (financial)
- 伍拾貳萬捌仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 528120, here are decompositions:
- 13 + 528107 = 528120
- 23 + 528097 = 528120
- 29 + 528091 = 528120
- 67 + 528053 = 528120
- 79 + 528041 = 528120
- 107 + 528013 = 528120
- 127 + 527993 = 528120
- 137 + 527983 = 528120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.14.248.
- Address
- 0.8.14.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.14.248
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 528,120 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 528120 first appears in π at position 593,049 of the decimal expansion (the 593,049ordinal-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°.