282020 has 24 divisors (see below), whose sum is σ = 604800. Its totient is φ = 110432.

The previous prime is 282019. The next prime is 282053. The reversal of 282020 is 20282.

It is a junction number, because it is equal to n+sod(n) for n = 281986 and 282004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2²⁸²⁰²⁰ is an apocalyptic number.

282020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282020 is an abundant number, since it is smaller than the sum of its proper divisors (322780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

282020 is a wasteful number, since it uses less digits than its factorization.

282020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 282020 is about 531.0555526496. The cubic root of 282020 is about 65.5782721022.

It can be divided in two parts, 28 and 2020, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 282020 in words is "two hundred eighty-two thousand, twenty".