107,200
107,200 is a composite number, even.
107,200 (one hundred seven thousand two hundred) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 5² × 67. Its proper divisors sum to 160,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 2,701
- Recamán's sequence
- a(82,455) = 107,200
- Square (n²)
- 11,491,840,000
- Cube (n³)
- 1,231,925,248,000,000
- Divisor count
- 42
- σ(n) — sum of divisors
- 267,716
- φ(n) — Euler's totient
- 42,240
- Sum of prime factors
- 89
Primality
Prime factorization: 2 6 × 5 2 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,200 = [327; (2, 2, 2, 2, 3, 3, 20, 1, 4, 1, 1, 4, 1, 1, 7, 1, 2, 1, 5, 6, 2, 1, 2, 17, …)]
Representations
- In words
- one hundred seven thousand two hundred
- Ordinal
- 107200th
- Binary
- 11010001011000000
- Octal
- 321300
- Hexadecimal
- 0x1A2C0
- Base64
- AaLA
- One's complement
- 4,294,860,095 (32-bit)
- Scientific notation
- 1.072 × 10⁵
- As a duration
- 107,200 s = 1 day, 5 hours, 46 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ρζσʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋠·𝋠
- Chinese
- 十萬七千二百
- Chinese (financial)
- 壹拾萬柒仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107200, here are decompositions:
- 3 + 107197 = 107200
- 17 + 107183 = 107200
- 29 + 107171 = 107200
- 101 + 107099 = 107200
- 131 + 107069 = 107200
- 167 + 107033 = 107200
- 179 + 107021 = 107200
- 239 + 106961 = 107200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.192.
- Address
- 0.1.162.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.192
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 107,200 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.