988,080
988,080 is a composite number, even.
988,080 (nine hundred eighty-eight thousand eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 23 × 179. Its proper divisors sum to 2,226,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 80,889
- Flips to (rotate 180°)
- 80,886
- Square (n²)
- 976,302,086,400
- Cube (n³)
- 964,664,565,530,112,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 3,214,080
- φ(n) — Euler's totient
- 250,624
- Sum of prime factors
- 218
Primality
Prime factorization: 2 4 × 3 × 5 × 23 × 179
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,080 = [994; (45, 5, 2, 15, 1, 39, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 11, 1, 10, 2, 1, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand eighty
- Ordinal
- 988080th
- Binary
- 11110001001110110000
- Octal
- 3611660
- Hexadecimal
- 0xF13B0
- Base64
- DxOw
- One's complement
- 4,293,979,215 (32-bit)
- Scientific notation
- 9.8808 × 10⁵
- As a duration
- 988,080 s = 11 days, 10 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡπηπʹ
- Chinese
- 九十八萬八千零八十
- Chinese (financial)
- 玖拾捌萬捌仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988080, here are decompositions:
- 11 + 988069 = 988080
- 13 + 988067 = 988080
- 19 + 988061 = 988080
- 29 + 988051 = 988080
- 47 + 988033 = 988080
- 59 + 988021 = 988080
- 73 + 988007 = 988080
- 83 + 987997 = 988080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.176.
- Address
- 0.15.19.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.19.176
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 988,080 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 988080 first appears in π at position 443,814 of the decimal expansion (the 443,814ordinal-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°.