32000

32000 is the natural number that comes after 31999 and before 32001. It is an even composite number with prime factorization 2^8 × 5^3, which equals 256 × 125. As a result, 32000 has 36 positive divisors (calculated from the exponents: (8+1) × (3+1) = 9 × 4). The sum of its divisors is 79,716.

In different bases, 32000 has representations such as decimal 32000, hexadecimal 0x7D00, and binary 0111110100000000 (a 16-bit form). In scientific notation it is written as 3.2 × 10^4.

Context and usage notes: 32000 lies between 2^14 (16384) and 2^15 (32768), being relatively close to 2^15. It is also near 32 KiB (32,768 bytes), a standard memory size in computing, though 32,000 bytes is not itself a typical power-of-two block. In Roman numerals, large numbers are usually written with bars to indicate multiplication by 1,000; 32,000 could be represented as XXXII with a vinculum (bar) above it, though such notation is archaic.

Other properties: the digit sum of 32000 is 3+2+0+0+0 = 5, and it is congruent to 0 modulo 8 and modulo 125 due to its factorization. 3.2 × 10^4 is a common way to express the value in scientific contexts.