990,080
990,080 is a composite number, even.
990,080 (nine hundred ninety thousand eighty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 5 × 7 × 13 × 17. Its proper divisors sum to 2,094,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1B80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 80,099
- Flips to (rotate 180°)
- 80,066
- Square (n²)
- 980,258,406,400
- Cube (n³)
- 970,534,243,008,512,000
- Divisor count
- 128
- σ(n) — sum of divisors
- 3,084,480
- φ(n) — Euler's totient
- 294,912
- Sum of prime factors
- 56
Primality
Prime factorization: 2 7 × 5 × 7 × 13 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√990,080 = [995; (36, 5, 2, 15, 1, 123, 2, 3, 1, 1, 1, 1, 2, 3, 8, 1, 3, 497, 3, 1, 8, 3, 2, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety thousand eighty
- Ordinal
- 990080th
- Binary
- 11110001101110000000
- Octal
- 3615600
- Hexadecimal
- 0xF1B80
- Base64
- DxuA
- One's complement
- 4,293,977,215 (32-bit)
- Scientific notation
- 9.9008 × 10⁵
- As a duration
- 990,080 s = 11 days, 11 hours, 1 minute, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟπʹ
- Chinese
- 九十九萬零八十
- Chinese (financial)
- 玖拾玖萬零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990080, here are decompositions:
- 37 + 990043 = 990080
- 43 + 990037 = 990080
- 67 + 990013 = 990080
- 79 + 990001 = 990080
- 103 + 989977 = 990080
- 109 + 989971 = 990080
- 151 + 989929 = 990080
- 163 + 989917 = 990080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.128.
- Address
- 0.15.27.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.27.128
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 990,080 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 990080 first appears in π at position 773,333 of the decimal expansion (the 773,333ordinal-suffix:rd 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°.