14820

14820 is a natural number that sits between 14819 and 14821. It is an even and composite number with several divisors.

Its prime factorization is 2^2 × 3 × 5 × 13 × 19. From this, the number of positive divisors is (2+1)×(1+1)×(1+1)×(1+1)×(1+1) = 48. The sum of all divisors, including 14820 itself, is (1+2+4)×(1+3)×(1+5)×(1+13)×(1+19) = 47040, so the sum of proper divisors equals 47040 − 14820 = 32220.

Because the sum of proper divisors (32220) exceeds the number itself, 14820 is an abundant number, with an abundance of 17400. It is also a multiple of 60, since 14820 = 60 × 247, and 247 factors as 13 × 19. The decimal digit sum is 1+4+8+2+0 = 15, so 14820 is a Harshad (or Niven) number in base 10 because 14820 ÷ 15 = 988.

Other simple divisibility facts follow from its factorization: it is divisible by 2, 3, 5, 6, 10, 12, 15, 20, 30, and 60, among many others. Its ending in 0 reflects the presence of the factor 2 × 5 in its composition.

In summary, 14820 is a highly composite, abundant natural number with multiple small prime factors, a trailing zero in decimal notation, and several notable divisibility properties.