113,640
113,640 is a composite number, even.
113,640 (one hundred thirteen thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 947. Its proper divisors sum to 227,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BBE8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 46,311
- Recamán's sequence
- a(56,071) = 113,640
- Square (n²)
- 12,914,049,600
- Cube (n³)
- 1,467,552,596,544,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 341,280
- φ(n) — Euler's totient
- 30,272
- Sum of prime factors
- 961
Primality
Prime factorization: 2 3 × 3 × 5 × 947
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,640 = [337; (9, 2, 44, 2, 9, 674)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand six hundred forty
- Ordinal
- 113640th
- Binary
- 11011101111101000
- Octal
- 335750
- Hexadecimal
- 0x1BBE8
- Base64
- Abvo
- One's complement
- 4,294,853,655 (32-bit)
- Scientific notation
- 1.1364 × 10⁵
- As a duration
- 113,640 s = 1 day, 7 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγχμʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋢·𝋠
- Chinese
- 一十一萬三千六百四十
- Chinese (financial)
- 壹拾壹萬參仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113640, here are decompositions:
- 17 + 113623 = 113640
- 19 + 113621 = 113640
- 73 + 113567 = 113640
- 83 + 113557 = 113640
- 101 + 113539 = 113640
- 103 + 113537 = 113640
- 127 + 113513 = 113640
- 139 + 113501 = 113640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.232.
- Address
- 0.1.187.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.232
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 113,640 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 113640 first appears in π at position 514,957 of the decimal expansion (the 514,957ordinal-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°.