553,320
553,320 is a composite number, even.
553,320 (five hundred fifty-three thousand three hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 29 × 53. Its proper divisors sum to 1,342,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x87168.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 23,355
- Square (n²)
- 306,163,022,400
- Cube (n³)
- 169,406,123,554,368,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,895,400
- φ(n) — Euler's totient
- 139,776
- Sum of prime factors
- 99
Primality
Prime factorization: 2 3 × 3 2 × 5 × 29 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√553,320 = [743; (1, 5, 1, 7, 1, 17, 2, 11, 1, 4, 4, 2, 1, 1, 2, 1, 6, 6, 41, 6, 6, 1, 2, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- five hundred fifty-three thousand three hundred twenty
- Ordinal
- 553320th
- Binary
- 10000111000101101000
- Octal
- 2070550
- Hexadecimal
- 0x87168
- Base64
- CHFo
- One's complement
- 4,294,413,975 (32-bit)
- Scientific notation
- 5.5332 × 10⁵
- As a duration
- 553,320 s = 6 days, 9 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φνγτκʹ
- Chinese
- 五十五萬三千三百二十
- Chinese (financial)
- 伍拾伍萬參仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 553320, here are decompositions:
- 11 + 553309 = 553320
- 41 + 553279 = 553320
- 43 + 553277 = 553320
- 67 + 553253 = 553320
- 71 + 553249 = 553320
- 109 + 553211 = 553320
- 113 + 553207 = 553320
- 127 + 553193 = 553320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.113.104.
- Address
- 0.8.113.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.113.104
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 553,320 and was likely granted around 1895.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.