999,640
999,640 is a composite number, even.
999,640 (nine hundred ninety-nine thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 67 × 373. Its proper divisors sum to 1,289,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF40D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 37
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 46,999
- Square (n²)
- 999,280,129,600
- Cube (n³)
- 998,920,388,753,344,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 2,288,880
- φ(n) — Euler's totient
- 392,832
- Sum of prime factors
- 451
Primality
Prime factorization: 2 3 × 5 × 67 × 373
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√999,640 = [999; (1, 4, 1, 1, 4, 24, 2, 7, 17, 1, 7, 2, 2, 1, 2, 3, 6, 1, 6, 1, 2, 2, 6, 1, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-nine thousand six hundred forty
- Ordinal
- 999640th
- Binary
- 11110100000011011000
- Octal
- 3640330
- Hexadecimal
- 0xF40D8
- Base64
- D0DY
- One's complement
- 4,293,967,655 (32-bit)
- Scientific notation
- 9.9964 × 10⁵
- As a duration
- 999,640 s = 11 days, 13 hours, 40 minutes, 40 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟθχμʹ
- Chinese
- 九十九萬九千六百四十
- Chinese (financial)
- 玖拾玖萬玖仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 999640, here are decompositions:
- 17 + 999623 = 999640
- 29 + 999611 = 999640
- 41 + 999599 = 999640
- 149 + 999491 = 999640
- 251 + 999389 = 999640
- 263 + 999377 = 999640
- 269 + 999371 = 999640
- 281 + 999359 = 999640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.64.216.
- Address
- 0.15.64.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.64.216
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 999,640 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 999640 first appears in π at position 142,561 of the decimal expansion (the 142,561ordinal-suffix:st 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°.