991,116
991,116 is a composite number, even.
991,116 (nine hundred ninety-one thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2² × 3⁴ × 7 × 19 × 23. Its proper divisors sum to 2,261,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1F8C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 486
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 611,199
- Flips to (rotate 180°)
- 911,166
- Square (n²)
- 982,310,925,456
- Cube (n³)
- 973,584,075,194,248,896
- Divisor count
- 120
- σ(n) — sum of divisors
- 3,252,480
- φ(n) — Euler's totient
- 256,608
- Sum of prime factors
- 65
Primality
Prime factorization: 2 2 × 3 4 × 7 × 19 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√991,116 = [995; (1, 1, 4, 1, 2, 3, 6, 1, 1, 1, 3, 2, 3, 24, 3, 2, 3, 1, 1, 1, 6, 3, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-one thousand one hundred sixteen
- Ordinal
- 991116th
- Binary
- 11110001111110001100
- Octal
- 3617614
- Hexadecimal
- 0xF1F8C
- Base64
- Dx+M
- One's complement
- 4,293,976,179 (32-bit)
- Scientific notation
- 9.91116 × 10⁵
- As a duration
- 991,116 s = 11 days, 11 hours, 18 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟαριϛʹ
- Chinese
- 九十九萬一千一百一十六
- Chinese (financial)
- 玖拾玖萬壹仟壹佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 991116, here are decompositions:
- 37 + 991079 = 991116
- 43 + 991073 = 991116
- 47 + 991069 = 991116
- 53 + 991063 = 991116
- 59 + 991057 = 991116
- 73 + 991043 = 991116
- 79 + 991037 = 991116
- 89 + 991027 = 991116
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.31.140.
- Address
- 0.15.31.140
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.31.140
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 991,116 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.