10033020 has 72 divisors (see below), whose sum is σ = 30728880. Its totient is φ = 2649600.

The previous prime is 10033019. The next prime is 10033033. The reversal of 10033020 is 2033001.

It is a happy number.

It is a super-2 number, since 2×10033020² = 201322980640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10032993 and 10033011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24820 + ... + 25220.

It is an arithmetic number, because the mean of its divisors is an integer number (426790).

Almost surely, 2^10033020 is an apocalyptic number.

10033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364440).

10033020 is an abundant number, since it is smaller than the sum of its proper divisors (20695860).

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

10033020 is a wasteful number, since it uses less digits than its factorization.

10033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 10033020 is about 3167.4942778165. The cubic root of 10033020 is about 215.6803399231.

Adding to 10033020 its reverse (2033001), we get a palindrome (12066021).

The spelling of 10033020 in words is "ten million, thirty-three thousand, twenty".