4540

4540 is a natural number that lies between 4539 and 4541. In mathematics, it is an even composite number with prime factorization 2^2 × 5 × 227. Its divisors include 1, 2, 4, 5, 10, 20, 227, 454, 1135, 2270, and 4540 itself, among others formed by multiplying these factors.

4540 is an abundant number, meaning the sum of its proper divisors exceeds the number itself. The sum of all divisors is 9576, so the sum of proper divisors is 5036, which is 496 greater than 4540. This places 4540 in the category of abundant numbers, which begins at small values such as 12 and includes many even integers.

In various numeral systems, 4540 has the following representations: in binary it is 1000110111100_2, in hexadecimal it is 0x11BC, and in octal it is 10674_8. Its decimal digit sum is 13, so it is not a Harshad (Niven) number in base 10. The number is divisible by 10 and 20, reflecting its factorization by 2^2 and 5.

Beyond pure arithmetic, there is no widely noted historical or cultural significance attached to 4540 in standard reference works. It is primarily encountered in numerical contexts, such as combinatorial calculations, numerical demonstrations, and base-conversion examples.