107,364
107,364 is a composite number, even.
107,364 (one hundred seven thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 23 × 389. Its proper divisors sum to 154,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A364.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 463,701
- Recamán's sequence
- a(82,783) = 107,364
- Square (n²)
- 11,527,028,496
- Cube (n³)
- 1,237,587,887,444,544
- Divisor count
- 24
- σ(n) — sum of divisors
- 262,080
- φ(n) — Euler's totient
- 34,144
- Sum of prime factors
- 419
Primality
Prime factorization: 2 2 × 3 × 23 × 389
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,364 = [327; (1, 1, 1, 49, 1, 2, 1, 8, 1, 2, 1, 49, 1, 1, 1, 654)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand three hundred sixty-four
- Ordinal
- 107364th
- Binary
- 11010001101100100
- Octal
- 321544
- Hexadecimal
- 0x1A364
- Base64
- AaNk
- One's complement
- 4,294,859,931 (32-bit)
- Scientific notation
- 1.07364 × 10⁵
- As a duration
- 107,364 s = 1 day, 5 hours, 49 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζτξδʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋨·𝋤
- Chinese
- 十萬七千三百六十四
- Chinese (financial)
- 壹拾萬柒仟參佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107364, here are decompositions:
- 7 + 107357 = 107364
- 13 + 107351 = 107364
- 17 + 107347 = 107364
- 41 + 107323 = 107364
- 113 + 107251 = 107364
- 137 + 107227 = 107364
- 163 + 107201 = 107364
- 167 + 107197 = 107364
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.100.
- Address
- 0.1.163.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.100
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 107,364 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.