990,960
990,960 is a composite number, even.
990,960 (nine hundred ninety thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,129. Its proper divisors sum to 2,081,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1EF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 69,099
- Flips to (rotate 180°)
- 96,066
- Square (n²)
- 982,001,721,600
- Cube (n³)
- 973,124,426,036,736,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 3,072,720
- φ(n) — Euler's totient
- 264,192
- Sum of prime factors
- 4,145
Primality
Prime factorization: 2 4 × 3 × 5 × 4129
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√990,960 = [995; (2, 7, 1, 3, 5, 3, 2, 7, 1, 2, 1, 2, 132, 2, 1, 2, 1, 7, 2, 3, 5, 3, 1, 7, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety thousand nine hundred sixty
- Ordinal
- 990960th
- Binary
- 11110001111011110000
- Octal
- 3617360
- Hexadecimal
- 0xF1EF0
- Base64
- Dx7w
- One's complement
- 4,293,976,335 (32-bit)
- Scientific notation
- 9.9096 × 10⁵
- As a duration
- 990,960 s = 11 days, 11 hours, 16 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟϡξʹ
- Chinese
- 九十九萬零九百六十
- Chinese (financial)
- 玖拾玖萬零玖佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990960, here are decompositions:
- 7 + 990953 = 990960
- 37 + 990923 = 990960
- 43 + 990917 = 990960
- 67 + 990893 = 990960
- 71 + 990889 = 990960
- 73 + 990887 = 990960
- 79 + 990881 = 990960
- 109 + 990851 = 990960
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.30.240.
- Address
- 0.15.30.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.30.240
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 990,960 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 990960 first appears in π at position 933,586 of the decimal expansion (the 933,586ordinal-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°.