113,420
113,420 is a composite number, even.
113,420 (one hundred thirteen thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 53 × 107. Its proper divisors sum to 131,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB0C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 24,311
- Recamán's sequence
- a(53,539) = 113,420
- Square (n²)
- 12,864,096,400
- Cube (n³)
- 1,459,045,813,688,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 244,944
- φ(n) — Euler's totient
- 44,096
- Sum of prime factors
- 169
Primality
Prime factorization: 2 2 × 5 × 53 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,420 = [336; (1, 3, 1, 1, 10, 1, 6, 5, 1, 1, 1, 22, 1, 1, 2, 1, 2, 7, 5, 168, 5, 7, 2, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand four hundred twenty
- Ordinal
- 113420th
- Binary
- 11011101100001100
- Octal
- 335414
- Hexadecimal
- 0x1BB0C
- Base64
- AbsM
- One's complement
- 4,294,853,875 (32-bit)
- Scientific notation
- 1.1342 × 10⁵
- As a duration
- 113,420 s = 1 day, 7 hours, 30 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριγυκʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋫·𝋠
- Chinese
- 一十一萬三千四百二十
- Chinese (financial)
- 壹拾壹萬參仟肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113420, here are decompositions:
- 3 + 113417 = 113420
- 37 + 113383 = 113420
- 61 + 113359 = 113420
- 79 + 113341 = 113420
- 193 + 113227 = 113420
- 211 + 113209 = 113420
- 271 + 113149 = 113420
- 277 + 113143 = 113420
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.12.
- Address
- 0.1.187.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.12
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 113,420 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 113420 first appears in π at position 431,911 of the decimal expansion (the 431,911ordinal-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.