9720

9720 is a natural number that follows 9719 and precedes 9721. In decimal notation it ends with a zero, making it a multiple of 10, and it is even and composite.

Mathematical properties: 9720 factors as 2^3 × 3^5 × 5. This yields 48 positive divisors. The sum of all divisors is 32,760, and the sum of proper divisors is 23,040. The greatest square dividing 9720 is 324, and the squarefree part is 30. Euler’s totient function gives φ(9720) = 2,592. The digits sum to 18, so 9720 is a Harshad number in base 10 (9720/18 = 540). The digital root is 9.

Representations in other bases: in binary, 9720 is 10010111111000; in octal, it is 22770; in hexadecimal, it is 25F8 (often written as 0x25F8).

Time and unit relations: 9720 seconds equal 2 hours and 42 minutes. 9720 minutes equal 162 hours, which is 6 days and 18 hours. It also equals 360 × 27, linking it to degree measures in circles.

Summary: as a number, 9720 is notable for its factorization with small primes, its divisor structure, and its simple representations across bases. It serves as a useful example of a highly composite, highly factorable integer with several straightforward base conversions and time-unit interpretations.