30149600 has 108 divisors (see below), whose sum is σ = 80057376. Its totient is φ = 11082240.

The previous prime is 30149591. The next prime is 30149617. The reversal of 30149600 is 694103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135089 + ... + 135311.

It is an arithmetic number, because the mean of its divisors is an integer number (741272).

Almost surely, 2^30149600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40028688).

30149600 is an abundant number, since it is smaller than the sum of its proper divisors (49907776).

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

30149600 is a wasteful number, since it uses less digits than its factorization.

30149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 30149600 is about 5490.8651413051. The cubic root of 30149600 is about 311.2388855351.

The spelling of 30149600 in words is "thirty million, one hundred forty-nine thousand, six hundred".