113,400
113,400 is a composite number, even.
113,400 (one hundred thirteen thousand four hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2³ × 3⁴ × 5² × 7. Its proper divisors sum to 336,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,311
- Recamán's sequence
- a(54,107) = 113,400
- Square (n²)
- 12,859,560,000
- Cube (n³)
- 1,458,274,104,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 450,120
- φ(n) — Euler's totient
- 25,920
- Sum of prime factors
- 35
Primality
Prime factorization: 2 3 × 3 4 × 5 2 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,400 = [336; (1, 2, 1, 74, 12, 74, 1, 2, 1, 672)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand four hundred
- Ordinal
- 113400th
- Binary
- 11011101011111000
- Octal
- 335370
- Hexadecimal
- 0x1BAF8
- Base64
- Abr4
- One's complement
- 4,294,853,895 (32-bit)
- Scientific notation
- 1.134 × 10⁵
- As a duration
- 113,400 s = 1 day, 7 hours, 30 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ριγυʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋪·𝋠
- Chinese
- 一十一萬三千四百
- Chinese (financial)
- 壹拾壹萬參仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113400, here are decompositions:
- 17 + 113383 = 113400
- 19 + 113381 = 113400
- 29 + 113371 = 113400
- 37 + 113363 = 113400
- 41 + 113359 = 113400
- 43 + 113357 = 113400
- 59 + 113341 = 113400
- 71 + 113329 = 113400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.248.
- Address
- 0.1.186.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.186.248
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 113,400 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 113400 first appears in π at position 81,049 of the decimal expansion (the 81,049ordinal-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°.