30152016 has 120 divisors (see below), whose sum is σ = 90965160. Its totient is φ = 9289728.

The previous prime is 30151973. The next prime is 30152021. The reversal of 30152016 is 61025103.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 27248400 = 1704^2 + 5220^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30152016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266776 + ... + 266888.

It is an arithmetic number, because the mean of its divisors is an integer number (758043).

Almost surely, 2^30152016 is an apocalyptic number.

30152016 is a gapful number since it is divisible by the number (36) 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 30152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45482580).

30152016 is an abundant number, since it is smaller than the sum of its proper divisors (60813144).

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

30152016 is a wasteful number, since it uses less digits than its factorization.

30152016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 30152016 is about 5491.0851386588. The cubic root of 30152016 is about 311.2471988909.

Adding to 30152016 its reverse (61025103), we get a palindrome (91177119).

The spelling of 30152016 in words is "thirty million, one hundred fifty-two thousand, sixteen".