1024 (number)

← 1023 1024 1025 →
List of numbers — Integers ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinal	one thousand twenty-four
Ordinal	1024th (one thousand and twenty-fourth)
Factorization	210
Divisors	1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
Roman numeral	MXXIV
Binary	100000000002
Ternary	11012213
Quaternary	1000004
Quinary	130445
Senary	44246
Octal	20008
Duodecimal	71412
Hexadecimal	40016
Vigesimal	2B420
Base 36	SG36

1024 is the natural number following 1023 and preceding 1025.

1024 is a power of two: ${\displaystyle 2^{10}}$ (2 to the 10th power). It is the lowest power of two requiring four decimal digits, and the lowest power of two containing the digit 0 in its decimal representation (excluding any leading zeroes).

It is also the square of 32: ${\displaystyle 32^{2}}$.

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) (sequence in the OEIS).

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 exponents up to 300, 3a continues to be a good estimate of the number of digits.

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