115,824
115,824 is a composite number, even.
115,824 (one hundred fifteen thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 19 × 127. Its proper divisors sum to 201,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C470.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 320
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 428,511
- Recamán's sequence
- a(73,055) = 115,824
- Square (n²)
- 13,415,198,976
- Cube (n³)
- 1,553,802,006,196,224
- Divisor count
- 40
- σ(n) — sum of divisors
- 317,440
- φ(n) — Euler's totient
- 36,288
- Sum of prime factors
- 157
Primality
Prime factorization: 2 4 × 3 × 19 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,824 = [340; (3, 26, 1, 8, 2, 1, 3, 2, 1, 1, 13, 1, 1, 2, 3, 1, 2, 8, 1, 26, 3, 680)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifteen thousand eight hundred twenty-four
- Ordinal
- 115824th
- Binary
- 11100010001110000
- Octal
- 342160
- Hexadecimal
- 0x1C470
- Base64
- AcRw
- One's complement
- 4,294,851,471 (32-bit)
- Scientific notation
- 1.15824 × 10⁵
- As a duration
- 115,824 s = 1 day, 8 hours, 10 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριεωκδʹ
- Mayan (base 20)
- 𝋮·𝋩·𝋫·𝋤
- Chinese
- 一十一萬五千八百二十四
- Chinese (financial)
- 壹拾壹萬伍仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115824, here are decompositions:
- 13 + 115811 = 115824
- 17 + 115807 = 115824
- 31 + 115793 = 115824
- 41 + 115783 = 115824
- 43 + 115781 = 115824
- 47 + 115777 = 115824
- 53 + 115771 = 115824
- 61 + 115763 = 115824
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.196.112.
- Address
- 0.1.196.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.196.112
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 115,824 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°.