1024 (number)

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1024
1023	1025
List of numbers — Integers << 1k 2k 3k 4k 5k 6k 7k 8k 9k >>
Cardinal	One thousand [and] twenty-four
Ordinal	1024th (One thousand [and] twenty-fourth)
Factorization	210
Divisor(s)	11
Roman numeral	MXXIV
Binary	10000000000
Octal	2000
Hexadecimal	400

1024 is the natural number following 1023 and preceding 1025.

1024 is 2¹⁰ (2 to the 10th power).

1024 is the smallest number with exactly 11 divisors (but note that there are smaller numbers with more than 11 divisors; e.g., 60 has 12 divisors — see the sequence A005179 in OEIS).

[edit] Approximation to 1000

The neat coincidence that 2¹⁰ is nearly equal to 10³ provides the basis of a technique of estimating larger powers of 2 in decimal notation. Using 2^10a+b ≈ 2^b10^3a is fairly accurate for exponents up to about 100. For higher exponents, 3a continues to be a good estimate of the number of digits.

For example, 2⁵³ ≈ 8x10¹⁵. The actual value is about 9x10¹⁵.

In measuring bytes it is often used in place of 1000 as the quotients of the units byte, kilobyte, megabyte, etc. In 1999, the IEC coined the term kibibyte for multiples of 1024, with kilobyte being used for multiples of 1000. As of 2006, this convention has not been widely adopted.

[edit] Special Use in Computers

In binary notation, 1024 is represented as 10000000000, making it a simple "round number" occurring frequently in computer applications.

1024 is the maximum number of computer memory addresses that can be referenced with ten binary switches. This is the origin of the organization of computer memory into 1024-byte chunks.

In the Rich Text Format, language code 1024 indicates the text is not in any language and should be skipped over when proofing.