112,640
112,640 is a composite number, even.
112,640 (one hundred twelve thousand six hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2¹¹ × 5 × 11. Its proper divisors sum to 182,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B800.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 46,211
- Square (n²)
- 12,687,769,600
- Cube (n³)
- 1,429,150,367,744,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 294,840
- φ(n) — Euler's totient
- 40,960
- Sum of prime factors
- 38
Primality
Prime factorization: 2 11 × 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√112,640 = [335; (1, 1, 1, 1, 1, 1, 1, 9, 1, 6, 1, 1, 1, 2, 1, 41, 4, 2, 2, 1, 2, 10, 8, 2, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twelve thousand six hundred forty
- Ordinal
- 112640th
- Binary
- 11011100000000000
- Octal
- 334000
- Hexadecimal
- 0x1B800
- Base64
- AbgA
- One's complement
- 4,294,854,655 (32-bit)
- Scientific notation
- 1.1264 × 10⁵
- As a duration
- 112,640 s = 1 day, 7 hours, 17 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριβχμʹ
- Mayan (base 20)
- 𝋮·𝋡·𝋬·𝋠
- Chinese
- 一十一萬二千六百四十
- Chinese (financial)
- 壹拾壹萬貳仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112640, here are decompositions:
- 19 + 112621 = 112640
- 37 + 112603 = 112640
- 67 + 112573 = 112640
- 97 + 112543 = 112640
- 139 + 112501 = 112640
- 181 + 112459 = 112640
- 211 + 112429 = 112640
- 277 + 112363 = 112640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.0.
- Address
- 0.1.184.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.184.0
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 112,640 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 112640 first appears in π at position 958,584 of the decimal expansion (the 958,584ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.