523,920
523,920 is a composite number, even.
523,920 (five hundred twenty-three thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 37 × 59. Its proper divisors sum to 1,172,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7FE90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 29,325
- Recamán's sequence
- a(166,976) = 523,920
- Square (n²)
- 274,492,166,400
- Cube (n³)
- 143,811,935,820,288,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,696,320
- φ(n) — Euler's totient
- 133,632
- Sum of prime factors
- 112
Primality
Prime factorization: 2 4 × 3 × 5 × 37 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√523,920 = [723; (1, 4, 1, 1, 1, 9, 2, 1, 32, 4, 2, 11, 1, 1, 12, 1, 1, 11, 2, 4, 32, 1, 2, 9, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-three thousand nine hundred twenty
- Ordinal
- 523920th
- Binary
- 1111111111010010000
- Octal
- 1777220
- Hexadecimal
- 0x7FE90
- Base64
- B/6Q
- One's complement
- 4,294,443,375 (32-bit)
- Scientific notation
- 5.2392 × 10⁵
- As a duration
- 523,920 s = 6 days, 1 hour, 32 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φκγϡκʹ
- Chinese
- 五十二萬三千九百二十
- Chinese (financial)
- 伍拾貳萬參仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 523920, here are decompositions:
- 13 + 523907 = 523920
- 17 + 523903 = 523920
- 43 + 523877 = 523920
- 53 + 523867 = 523920
- 73 + 523847 = 523920
- 127 + 523793 = 523920
- 149 + 523771 = 523920
- 157 + 523763 = 523920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.254.144.
- Address
- 0.7.254.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.254.144
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 523,920 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 523920 first appears in π at position 99,164 of the decimal expansion (the 99,164ordinal-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°.