1618020

1618020 is a natural number that lies between 1618019 and 1618021. In decimal notation it is written as 1618020, and its digits are 1, 6, 1, 8, 0, 2, 0.

In mathematics, the prime factorization of 1618020 is 2^2 × 3^2 × 5 × 89 × 101. This makes the number even and composite. Consequently, it has a total of 72 positive divisors, as given by multiplying the exponents plus one: (2+1)(2+1)(1+1)(1+1)(1+1) = 3×3×2×2×2 = 72. The divisors arise from combining the prime power factors in all possible ways, yielding both small divisors such as 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20 and larger ones such as 180, 8989, 16020, and the number itself 1618020.

Notable arithmetic properties include divisibility by 4 and by 9 (since the exponents of 2 and 3 are at least 2). The number is also divisible by 20 (1618020 / 20 = 80901), by 180 (1618020 / 180 = 8989), and by 89, 101, and their products (for example, 89 × 101 = 8989 divides 1618020). The sum of all positive divisors equals 5,012,280.

In other contexts, 1618020 can serve as a numeric identifier in catalogs or databases. There is no widely recognized cultural or mathematical significance attached to this specific number beyond its demonstrated factorization and divisor structure.