30139200 has 504 divisors, whose sum is σ = 137574528. Its totient is φ = 6082560.

The previous prime is 30139199. The next prime is 30139229. The reversal of 30139200 is 293103.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310389 + ... + 1310411.

Almost surely, 2^30139200 is an apocalyptic number.

30139200 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 30139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68787264).

30139200 is an abundant number, since it is smaller than the sum of its proper divisors (107435328).

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

30139200 is a wasteful number, since it uses less digits than its factorization.

30139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30139200 is about 5489.9180321750. The cubic root of 30139200 is about 311.2030944946.

The spelling of 30139200 in words is "thirty million, one hundred thirty-nine thousand, two hundred".