113,664
113,664 is a composite number, even.
113,664 (one hundred thirteen thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 44 divisors, and factors as 2¹⁰ × 3 × 37. Its proper divisors sum to 197,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 432
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 466,311
- Recamán's sequence
- a(56,119) = 113,664
- Square (n²)
- 12,919,504,896
- Cube (n³)
- 1,468,482,604,498,944
- Divisor count
- 44
- σ(n) — sum of divisors
- 311,144
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 60
Primality
Prime factorization: 2 10 × 3 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,664 = [337; (7, 10, 2, 1, 1, 4, 1, 41, 3, 8, 1, 9, 1, 1, 1, 3, 1, 167, 1, 3, 1, 1, 1, 9, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand six hundred sixty-four
- Ordinal
- 113664th
- Binary
- 11011110000000000
- Octal
- 336000
- Hexadecimal
- 0x1BC00
- Base64
- AbwA
- One's complement
- 4,294,853,631 (32-bit)
- Scientific notation
- 1.13664 × 10⁵
- As a duration
- 113,664 s = 1 day, 7 hours, 34 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγχξδʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋣·𝋤
- Chinese
- 一十一萬三千六百六十四
- Chinese (financial)
- 壹拾壹萬參仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113664, here are decompositions:
- 7 + 113657 = 113664
- 17 + 113647 = 113664
- 41 + 113623 = 113664
- 43 + 113621 = 113664
- 73 + 113591 = 113664
- 97 + 113567 = 113664
- 107 + 113557 = 113664
- 127 + 113537 = 113664
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B0 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.0.
- Address
- 0.1.188.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.0
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 113,664 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 113664 first appears in π at position 24,715 of the decimal expansion (the 24,715ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.