116,688
116,688 is a composite number, even.
116,688 (one hundred sixteen thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 11 × 13 × 17. Its proper divisors sum to 258,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C7D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 2,304
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 886,611
- Flips to (rotate 180°)
- 889,911
- Square (n²)
- 13,616,089,344
- Cube (n³)
- 1,588,834,233,372,672
- Divisor count
- 80
- σ(n) — sum of divisors
- 374,976
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 52
Primality
Prime factorization: 2 4 × 3 × 11 × 13 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√116,688 = [341; (1, 1, 2, 10, 3, 1, 1, 1, 3, 10, 2, 1, 1, 682)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixteen thousand six hundred eighty-eight
- Ordinal
- 116688th
- Binary
- 11100011111010000
- Octal
- 343720
- Hexadecimal
- 0x1C7D0
- Base64
- AcfQ
- One's complement
- 4,294,850,607 (32-bit)
- Scientific notation
- 1.16688 × 10⁵
- As a duration
- 116,688 s = 1 day, 8 hours, 24 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριϛχπηʹ
- Mayan (base 20)
- 𝋮·𝋫·𝋮·𝋨
- Chinese
- 一十一萬六千六百八十八
- Chinese (financial)
- 壹拾壹萬陸仟陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116688, here are decompositions:
- 7 + 116681 = 116688
- 31 + 116657 = 116688
- 109 + 116579 = 116688
- 139 + 116549 = 116688
- 149 + 116539 = 116688
- 151 + 116537 = 116688
- 157 + 116531 = 116688
- 181 + 116507 = 116688
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.199.208.
- Address
- 0.1.199.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.199.208
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 116,688 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 116688 first appears in π at position 959,895 of the decimal expansion (the 959,895ordinal-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°.