113,820
113,820 is a composite number, even.
113,820 (one hundred thirteen thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 7 × 271. Its proper divisors sum to 251,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC9C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 28,311
- Recamán's sequence
- a(56,431) = 113,820
- Square (n²)
- 12,954,992,400
- Cube (n³)
- 1,474,537,234,968,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 365,568
- φ(n) — Euler's totient
- 25,920
- Sum of prime factors
- 290
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 271
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,820 = [337; (2, 1, 2, 5, 4, 1, 27, 3, 3, 1, 10, 1, 2, 168, 2, 1, 10, 1, 3, 3, 27, 1, 4, 5, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand eight hundred twenty
- Ordinal
- 113820th
- Binary
- 11011110010011100
- Octal
- 336234
- Hexadecimal
- 0x1BC9C
- Base64
- Abyc
- One's complement
- 4,294,853,475 (32-bit)
- Scientific notation
- 1.1382 × 10⁵
- As a duration
- 113,820 s = 1 day, 7 hours, 37 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριγωκʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋫·𝋠
- Chinese
- 一十一萬三千八百二十
- Chinese (financial)
- 壹拾壹萬參仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113820, here are decompositions:
- 11 + 113809 = 113820
- 23 + 113797 = 113820
- 37 + 113783 = 113820
- 41 + 113779 = 113820
- 43 + 113777 = 113820
- 59 + 113761 = 113820
- 61 + 113759 = 113820
- 71 + 113749 = 113820
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B2 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.156.
- Address
- 0.1.188.156
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.156
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 113,820 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 113820 first appears in π at position 624,184 of the decimal expansion (the 624,184ordinal-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°.