553,200
553,200 is a composite number, even.
553,200 (five hundred fifty-three thousand two hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 461. Its proper divisors sum to 1,222,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x870F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 2,355
- Square (n²)
- 306,030,240,000
- Cube (n³)
- 169,295,928,768,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,775,928
- φ(n) — Euler's totient
- 147,200
- Sum of prime factors
- 482
Primality
Prime factorization: 2 4 × 3 × 5 2 × 461
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√553,200 = [743; (1, 3, 2, 2, 1, 29, 1, 1, 1, 5, 2, 3, 3, 1, 5, 1, 6, 1, 14, 1, 1, 1, 1, 1, …)]
Representations
- In words
- five hundred fifty-three thousand two hundred
- Ordinal
- 553200th
- Binary
- 10000111000011110000
- Octal
- 2070360
- Hexadecimal
- 0x870F0
- Base64
- CHDw
- One's complement
- 4,294,414,095 (32-bit)
- Scientific notation
- 5.532 × 10⁵
- As a duration
- 553,200 s = 6 days, 9 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵φνγσʹ
- Chinese
- 五十五萬三千二百
- Chinese (financial)
- 伍拾伍萬參仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 553200, here are decompositions:
- 7 + 553193 = 553200
- 19 + 553181 = 553200
- 29 + 553171 = 553200
- 47 + 553153 = 553200
- 59 + 553141 = 553200
- 61 + 553139 = 553200
- 97 + 553103 = 553200
- 101 + 553099 = 553200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.112.240.
- Address
- 0.8.112.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.112.240
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 553,200 and was likely granted around 1895.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 553200 first appears in π at position 950,696 of the decimal expansion (the 950,696ordinal-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°.