30733920 has 144 divisors (see below), whose sum is σ = 119901600. Its totient is φ = 7022592.

The previous prime is 30733919. The next prime is 30733921. The reversal of 30733920 is 2933703.

30733920 is a `hidden beast` number, since 307 + 339 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (30733919) and next prime (30733921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30733921) by changing a digit.

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, 8556 + ... + 11604.

It is an arithmetic number, because the mean of its divisors is an integer number (832650).

Almost surely, 2^30733920 is an apocalyptic number.

30733920 is a gapful number since it is divisible by the number (30) 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 30733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59950800).

30733920 is an abundant number, since it is smaller than the sum of its proper divisors (89167680).

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

30733920 is a wasteful number, since it uses less digits than its factorization.

30733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 30733920 is about 5543.8181788367. The cubic root of 30733920 is about 313.2367088010.

The spelling of 30733920 in words is "thirty million, seven hundred thirty-three thousand, nine hundred twenty".