988,320
988,320 is a composite number, even.
988,320 (nine hundred eighty-eight thousand three hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 29 × 71. Its proper divisors sum to 2,277,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 23,889
- Square (n²)
- 976,776,422,400
- Cube (n³)
- 965,367,673,786,368,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,265,920
- φ(n) — Euler's totient
- 250,880
- Sum of prime factors
- 118
Primality
Prime factorization: 2 5 × 3 × 5 × 29 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,320 = [994; (7, 1988)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand three hundred twenty
- Ordinal
- 988320th
- Binary
- 11110001010010100000
- Octal
- 3612240
- Hexadecimal
- 0xF14A0
- Base64
- DxSg
- One's complement
- 4,293,978,975 (32-bit)
- Scientific notation
- 9.8832 × 10⁵
- As a duration
- 988,320 s = 11 days, 10 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ϡπητκʹ
- Chinese
- 九十八萬八千三百二十
- Chinese (financial)
- 玖拾捌萬捌仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988320, here are decompositions:
- 7 + 988313 = 988320
- 23 + 988297 = 988320
- 41 + 988279 = 988320
- 83 + 988237 = 988320
- 89 + 988231 = 988320
- 101 + 988219 = 988320
- 103 + 988217 = 988320
- 107 + 988213 = 988320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.160.
- Address
- 0.15.20.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.20.160
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 988,320 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 988320 first appears in π at position 291,792 of the decimal expansion (the 291,792ordinal-suffix:nd 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°.