14896

14896 is a natural number that falls between 14895 and 14897. In decimal notation, it is an even, composite integer with the prime factorization 2^4 * 7^2 * 19. This factorization shows that 14896 is divisible by 16, 49, and 19, as well as by their various combinations; in particular, it has 30 positive divisors, since the divisor function for 2^4 * 7^2 * 19^1 equals (4+1)*(2+1)*(1+1) = 30.

The sum of all positive divisors of 14896 is 35,340, so the sum of its proper divisors (divisors excluding the number itself) is 20,444. Consequently, 14896 is not a perfect number. The number is also a Harshad (or Niven) number in base 10 because 14896 is divisible by the sum of its digits (1+4+8+9+6 = 28); 14896 ÷ 28 = 532.

In modular arithmetic, 14896 is congruent to 0 modulo 2, 4, 8, 16, and 19, reflecting its evenness and its factor 19. The prime factorization also implies that 14896 is not squarefree due to the square of 7 in its factorization.