990,990
990,990 is a composite number, even.
990,990 (nine hundred ninety thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2 × 3² × 5 × 7 × 11² × 13. Its proper divisors sum to 2,494,674, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1F0E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 99,099
- Flips to (rotate 180°)
- 66,066
- Square (n²)
- 982,061,180,100
- Cube (n³)
- 973,212,808,867,299,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,485,664
- φ(n) — Euler's totient
- 190,080
- Sum of prime factors
- 55
Primality
Prime factorization: 2 × 3 2 × 5 × 7 × 11 2 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√990,990 = [995; (2, 15, 1, 20, 1, 15, 2, 1990)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety thousand nine hundred ninety
- Ordinal
- 990990th
- Binary
- 11110001111100001110
- Octal
- 3617416
- Hexadecimal
- 0xF1F0E
- Base64
- Dx8O
- One's complement
- 4,293,976,305 (32-bit)
- Scientific notation
- 9.9099 × 10⁵
- As a duration
- 990,990 s = 11 days, 11 hours, 16 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟϡϟʹ
- Chinese
- 九十九萬零九百九十
- Chinese (financial)
- 玖拾玖萬零玖佰玖拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990990, here are decompositions:
- 17 + 990973 = 990990
- 23 + 990967 = 990990
- 29 + 990961 = 990990
- 37 + 990953 = 990990
- 67 + 990923 = 990990
- 73 + 990917 = 990990
- 97 + 990893 = 990990
- 101 + 990889 = 990990
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.31.14.
- Address
- 0.15.31.14
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.31.14
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 990,990 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 990990 first appears in π at position 115,598 of the decimal expansion (the 115,598ordinal-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°.