30153040 has 80 divisors (see below), whose sum is σ = 74526480. Its totient is φ = 11325440.

The previous prime is 30153037. The next prime is 30153041. The reversal of 30153040 is 4035103.

It can be written as a sum of positive squares in 8 ways, for example, as 10010896 + 20142144 = 3164^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30153041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94962 + ... + 95278.

It is an arithmetic number, because the mean of its divisors is an integer number (931581).

Almost surely, 2^30153040 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 30153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37263240).

30153040 is an abundant number, since it is smaller than the sum of its proper divisors (44373440).

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

30153040 is a wasteful number, since it uses less digits than its factorization.

30153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 30153040 is about 5491.1783799108. The cubic root of 30153040 is about 311.2507222985.

Adding to 30153040 its reverse (4035103), we get a palindrome (34188143).

The spelling of 30153040 in words is "thirty million, one hundred fifty-three thousand, forty".