4560

4560 is the natural number that follows 4559 and precedes 4561. In decimal notation it is an even, composite integer commonly encountered in counting and basic arithmetic.

Mathematical properties: The prime factorization of 4560 is 2^4 × 3 × 5 × 19. From this, the total number of positive divisors is 40. The digits sum to 15, which makes the number divisible by 3 and by 5, and thus by 15 as well; it is also divisible by 2 and by 8, among other factors.

Representations in other bases: In hexadecimal, 4560 equals 0x11D0. In binary, it is 1000111010000 (or, in a 16-bit form, 0001000111010000). In Roman numerals, large values are not standardized, but a nonstandard rendering for 4560 could be MMMMDLX; standard usage typically limits representations with modern conventions to smaller values without overlines.

Context and usage: As a number, 4560 appears in various mathematical contexts, such as factorization, divisibility tests, and modular arithmetic. It can serve as an example in teaching about divisors, multiples, and base conversions. Outside pure mathematics, 4560 may appear as a catalog or model number, a label in datasets, or an identifier in engineering and computing tasks, where it is treated simply as a numeric value.