987,120
987,120 is a composite number, even.
987,120 (nine hundred eighty-seven thousand one hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 5 × 457. Its proper divisors sum to 2,420,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0FF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 21,789
- Square (n²)
- 974,405,894,400
- Cube (n³)
- 961,855,546,480,128,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 3,407,520
- φ(n) — Euler's totient
- 262,656
- Sum of prime factors
- 479
Primality
Prime factorization: 2 4 × 3 3 × 5 × 457
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√987,120 = [993; (1, 1, 5, 1, 8, 40, 2, 3, 1, 1, 1, 3, 8, 1, 1, 2, 10, 124, 10, 2, 1, 1, 8, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-seven thousand one hundred twenty
- Ordinal
- 987120th
- Binary
- 11110000111111110000
- Octal
- 3607760
- Hexadecimal
- 0xF0FF0
- Base64
- Dw/w
- One's complement
- 4,293,980,175 (32-bit)
- Scientific notation
- 9.8712 × 10⁵
- As a duration
- 987,120 s = 11 days, 10 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ϡπζρκʹ
- Chinese
- 九十八萬七千一百二十
- Chinese (financial)
- 玖拾捌萬柒仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 987120, here are decompositions:
- 19 + 987101 = 987120
- 23 + 987097 = 987120
- 31 + 987089 = 987120
- 37 + 987083 = 987120
- 41 + 987079 = 987120
- 53 + 987067 = 987120
- 59 + 987061 = 987120
- 67 + 987053 = 987120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.15.240.
- Address
- 0.15.15.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.15.240
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 987,120 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 987120 first appears in π at position 950,285 of the decimal expansion (the 950,285ordinal-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°.