115,200
115,200 is a composite number, even.
115,200 (one hundred fifteen thousand two hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁹ × 3² × 5². Its proper divisors sum to 297,069, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C200.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 2,511
- Recamán's sequence
- a(71,807) = 115,200
- Square (n²)
- 13,271,040,000
- Cube (n³)
- 1,528,823,808,000,000
- Divisor count
- 90
- σ(n) — sum of divisors
- 412,269
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 34
Primality
Prime factorization: 2 9 × 3 2 × 5 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,200 = [339; (2, 2, 3, 6, 2, 41, 1, 26, 5, 1, 2, 169, 2, 1, 5, 26, 1, 41, 2, 6, 3, 2, 2, 678)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifteen thousand two hundred
- Ordinal
- 115200th
- Binary
- 11100001000000000
- Octal
- 341000
- Hexadecimal
- 0x1C200
- Base64
- AcIA
- One's complement
- 4,294,852,095 (32-bit)
- Scientific notation
- 1.152 × 10⁵
- As a duration
- 115,200 s = 1 day, 8 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ριεσʹ
- Mayan (base 20)
- 𝋮·𝋨·𝋠·𝋠
- Chinese
- 一十一萬五千二百
- Chinese (financial)
- 壹拾壹萬伍仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115200, here are decompositions:
- 17 + 115183 = 115200
- 37 + 115163 = 115200
- 47 + 115153 = 115200
- 67 + 115133 = 115200
- 73 + 115127 = 115200
- 83 + 115117 = 115200
- 101 + 115099 = 115200
- 139 + 115061 = 115200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.0.
- Address
- 0.1.194.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.194.0
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 115,200 and was likely granted around 1871.
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°.