117,824
117,824 is a composite number, even.
117,824 (one hundred seventeen thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 263. Its proper divisors sum to 150,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 448
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 428,711
- Square (n²)
- 13,882,494,976
- Cube (n³)
- 1,635,691,088,052,224
- Divisor count
- 28
- σ(n) — sum of divisors
- 268,224
- φ(n) — Euler's totient
- 50,304
- Sum of prime factors
- 282
Primality
Prime factorization: 2 6 × 7 × 263
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,824 = [343; (3, 1, 11, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 6, 3, 1, 23, 1, 3, 6, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand eight hundred twenty-four
- Ordinal
- 117824th
- Binary
- 11100110001000000
- Octal
- 346100
- Hexadecimal
- 0x1CC40
- Base64
- AcxA
- One's complement
- 4,294,849,471 (32-bit)
- Scientific notation
- 1.17824 × 10⁵
- As a duration
- 117,824 s = 1 day, 8 hours, 43 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριζωκδʹ
- Mayan (base 20)
- 𝋮·𝋮·𝋫·𝋤
- Chinese
- 一十一萬七千八百二十四
- Chinese (financial)
- 壹拾壹萬柒仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117824, here are decompositions:
- 13 + 117811 = 117824
- 37 + 117787 = 117824
- 61 + 117763 = 117824
- 67 + 117757 = 117824
- 73 + 117751 = 117824
- 97 + 117727 = 117824
- 103 + 117721 = 117824
- 151 + 117673 = 117824
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9C B1 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.64.
- Address
- 0.1.204.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.204.64
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 117,824 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.