6750

6750 is a natural number that follows 6749 and precedes 6751. It is an even, composite integer. The prime factorization is 2 × 3^3 × 5^3, expressing 6750 as the product of these primes in powers.

6750 has 32 positive divisors, as given by the divisor-counting formula for prime factorizations: (1+1)(3+1)(3+1) = 32. It is divisible by many small integers, including 2, 3, 5, 9, 10, 25, 50, 125, and 250.

In numeral systems, 6750 is represented in binary as 1101001011110 and in hexadecimal as 0x1A5E. The sum of its decimal digits is 18, making 6750 a Harshad (Niven) number in base 10, and its digital root is 9.

The sum of all positive divisors of 6750 is 18,720; the sum of its proper divisors is 11,970. Since the proper divisors sum exceeds the number itself, 6750 is classified as an abundant number. Its square root is approximately 82.1, indicating it is not a perfect square.

6750 is a typical example of a number with multiple small prime factors, yielding a relatively large number of divisors. It can also serve as a catalog or model number in various systems, though no single historical event or mathematical constant is uniquely associated with this exact value.