113,828
113,828 is a composite number, even.
113,828 (one hundred thirteen thousand eight hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 13 × 199. Its proper divisors sum to 121,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCA4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 384
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 828,311
- Recamán's sequence
- a(56,447) = 113,828
- Square (n²)
- 12,956,813,584
- Cube (n³)
- 1,474,848,176,639,552
- Divisor count
- 24
- σ(n) — sum of divisors
- 235,200
- φ(n) — Euler's totient
- 47,520
- Sum of prime factors
- 227
Primality
Prime factorization: 2 2 × 11 × 13 × 199
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,828 = [337; (2, 1, 1, 1, 1, 9, 1, 12, 1, 6, 2, 2, 5, 1, 9, 12, 1, 1, 1, 2, 2, 1, 4, 1, …)]
Representations
- In words
- one hundred thirteen thousand eight hundred twenty-eight
- Ordinal
- 113828th
- Binary
- 11011110010100100
- Octal
- 336244
- Hexadecimal
- 0x1BCA4
- Base64
- Abyk
- One's complement
- 4,294,853,467 (32-bit)
- Scientific notation
- 1.13828 × 10⁵
- As a duration
- 113,828 s = 1 day, 7 hours, 37 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγωκηʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋫·𝋨
- Chinese
- 一十一萬三千八百二十八
- Chinese (financial)
- 壹拾壹萬參仟捌佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113828, here are decompositions:
- 19 + 113809 = 113828
- 31 + 113797 = 113828
- 67 + 113761 = 113828
- 79 + 113749 = 113828
- 97 + 113731 = 113828
- 109 + 113719 = 113828
- 181 + 113647 = 113828
- 271 + 113557 = 113828
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.164.
- Address
- 0.1.188.164
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.164
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 113,828 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.