112,880
112,880 is a composite number, even.
112,880 (one hundred twelve thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 83. Its proper divisors sum to 168,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B8F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 88,211
- Recamán's sequence
- a(52,807) = 112,880
- Square (n²)
- 12,741,894,400
- Cube (n³)
- 1,438,305,039,872,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 281,232
- φ(n) — Euler's totient
- 41,984
- Sum of prime factors
- 113
Primality
Prime factorization: 2 4 × 5 × 17 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√112,880 = [335; (1, 40, 1, 670)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twelve thousand eight hundred eighty
- Ordinal
- 112880th
- Binary
- 11011100011110000
- Octal
- 334360
- Hexadecimal
- 0x1B8F0
- Base64
- Abjw
- One's complement
- 4,294,854,415 (32-bit)
- Scientific notation
- 1.1288 × 10⁵
- As a duration
- 112,880 s = 1 day, 7 hours, 21 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριβωπʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋤·𝋠
- Chinese
- 一十一萬二千八百八十
- Chinese (financial)
- 壹拾壹萬貳仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112880, here are decompositions:
- 3 + 112877 = 112880
- 37 + 112843 = 112880
- 73 + 112807 = 112880
- 109 + 112771 = 112880
- 139 + 112741 = 112880
- 193 + 112687 = 112880
- 223 + 112657 = 112880
- 277 + 112603 = 112880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.240.
- Address
- 0.1.184.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.184.240
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 112,880 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.