116,640
116,640 is a composite number, even.
116,640 (one hundred sixteen thousand six hundred forty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁵ × 3⁶ × 5. Its proper divisors sum to 296,514, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C7A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 46,611
- Square (n²)
- 13,604,889,600
- Cube (n³)
- 1,586,874,322,944,000
- Divisor count
- 84
- σ(n) — sum of divisors
- 413,154
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 33
Primality
Prime factorization: 2 5 × 3 6 × 5
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√116,640 = [341; (1, 1, 9, 8, 3, 18, 1, 1, 1, 7, 1, 3, 2, 1, 1, 1, 1, 75, 3, 1, 1, 3, 2, 7, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixteen thousand six hundred forty
- Ordinal
- 116640th
- Binary
- 11100011110100000
- Octal
- 343640
- Hexadecimal
- 0x1C7A0
- Base64
- Aceg
- One's complement
- 4,294,850,655 (32-bit)
- Scientific notation
- 1.1664 × 10⁵
- As a duration
- 116,640 s = 1 day, 8 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριϛχμʹ
- Mayan (base 20)
- 𝋮·𝋫·𝋬·𝋠
- Chinese
- 一十一萬六千六百四十
- Chinese (financial)
- 壹拾壹萬陸仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116640, here are decompositions:
- 47 + 116593 = 116640
- 61 + 116579 = 116640
- 101 + 116539 = 116640
- 103 + 116537 = 116640
- 107 + 116533 = 116640
- 109 + 116531 = 116640
- 149 + 116491 = 116640
- 157 + 116483 = 116640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.199.160.
- Address
- 0.1.199.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.199.160
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 116,640 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 116640 first appears in π at position 663,691 of the decimal expansion (the 663,691ordinal-suffix:st 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°.