113,720
113,720 is a composite number, even.
113,720 (one hundred thirteen thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,843. Its proper divisors sum to 142,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC38.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,311
- Recamán's sequence
- a(56,231) = 113,720
- Square (n²)
- 12,932,238,400
- Cube (n³)
- 1,470,654,150,848,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 255,960
- φ(n) — Euler's totient
- 45,472
- Sum of prime factors
- 2,854
Primality
Prime factorization: 2 3 × 5 × 2843
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,720 = [337; (4, 2, 6, 1, 1, 1, 8, 1, 5, 1, 1, 2, 3, 7, 3, 1, 1, 8, 3, 3, 1, 2, 33, 2, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand seven hundred twenty
- Ordinal
- 113720th
- Binary
- 11011110000111000
- Octal
- 336070
- Hexadecimal
- 0x1BC38
- Base64
- Abw4
- One's complement
- 4,294,853,575 (32-bit)
- Scientific notation
- 1.1372 × 10⁵
- As a duration
- 113,720 s = 1 day, 7 hours, 35 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριγψκʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋦·𝋠
- Chinese
- 一十一萬三千七百二十
- Chinese (financial)
- 壹拾壹萬參仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113720, here are decompositions:
- 3 + 113717 = 113720
- 37 + 113683 = 113720
- 73 + 113647 = 113720
- 97 + 113623 = 113720
- 163 + 113557 = 113720
- 181 + 113539 = 113720
- 223 + 113497 = 113720
- 283 + 113437 = 113720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B0 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.56.
- Address
- 0.1.188.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.56
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 113,720 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 113720 first appears in π at position 393,963 of the decimal expansion (the 393,963ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.