1,006,880
1,006,880 is a composite number, even.
1,006,880 (one million six thousand eight hundred eighty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5 × 7 × 29 × 31. Its proper divisors sum to 1,896,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 886,001
- Flips to (rotate 180°)
- 889,001
- Square (n²)
- 1,013,807,334,400
- Cube (n³)
- 1,020,782,328,860,672,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 2,903,040
- φ(n) — Euler's totient
- 322,560
- Sum of prime factors
- 82
Primality
Prime factorization: 2 5 × 5 × 7 × 29 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,006,880 = [1003; (2, 3, 3, 2, 2, 11, 2, 6, 2, 6, 1, 2, 9, 1, 2, 1, 3, 1, 2, 501, 2, 1, 3, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one million six thousand eight hundred eighty
- Ordinal
- 1006880th
- Binary
- 11110101110100100000
- Octal
- 3656440
- Hexadecimal
- 0xF5D20
- Base64
- D10g
- One's complement
- 4,293,960,415 (32-bit)
- Scientific notation
- 1.00688 × 10⁶
- As a duration
- 1,006,880 s = 11 days, 15 hours, 41 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Chinese
- 一百萬六千八百八十
- Chinese (financial)
- 壹佰萬陸仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006880, here are decompositions:
- 3 + 1006877 = 1006880
- 19 + 1006861 = 1006880
- 97 + 1006783 = 1006880
- 229 + 1006651 = 1006880
- 271 + 1006609 = 1006880
- 337 + 1006543 = 1006880
- 349 + 1006531 = 1006880
- 367 + 1006513 = 1006880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.32.
- Address
- 0.15.93.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.93.32
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 1,006,880 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.