987,168
987,168 is a composite number, even.
987,168 (nine hundred eighty-seven thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 13 × 113. Its proper divisors sum to 2,230,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1020.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 24,192
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 861,789
- Square (n²)
- 974,500,660,224
- Cube (n³)
- 961,995,867,752,005,632
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,217,536
- φ(n) — Euler's totient
- 258,048
- Sum of prime factors
- 146
Primality
Prime factorization: 2 5 × 3 × 7 × 13 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√987,168 = [993; (1, 1, 3, 2, 4, 1, 1, 5, 2, 1, 8, 5, 2, 1, 1, 3, 6, 8, 1, 495, 1, 8, 6, 3, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-seven thousand one hundred sixty-eight
- Ordinal
- 987168th
- Binary
- 11110001000000100000
- Octal
- 3610040
- Hexadecimal
- 0xF1020
- Base64
- DxAg
- One's complement
- 4,293,980,127 (32-bit)
- Scientific notation
- 9.87168 × 10⁵
- As a duration
- 987,168 s = 11 days, 10 hours, 12 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡπζρξηʹ
- Chinese
- 九十八萬七千一百六十八
- Chinese (financial)
- 玖拾捌萬柒仟壹佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 987168, here are decompositions:
- 41 + 987127 = 987168
- 67 + 987101 = 987168
- 71 + 987097 = 987168
- 79 + 987089 = 987168
- 89 + 987079 = 987168
- 101 + 987067 = 987168
- 107 + 987061 = 987168
- 139 + 987029 = 987168
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.16.32.
- Address
- 0.15.16.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.16.32
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 987,168 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 987168 first appears in π at position 67,330 of the decimal expansion (the 67,330ordinal-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°.