30117152 has 36 divisors (see below), whose sum is σ = 64216530. Its totient is φ = 13897728.

The previous prime is 30117127. The next prime is 30117169. The reversal of 30117152 is 25171103.

It can be written as a sum of positive squares in 3 ways, for example, as 10010896 + 20106256 = 3164^2 + 4484^2 .

It is a super-2 number, since 2×30117152² = 1814085689182208, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 2624 + ... + 8192.

Almost surely, 2^30117152 is an apocalyptic number.

30117152 is a gapful number since it is divisible by the number (32) 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 30117152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32108265).

30117152 is an abundant number, since it is smaller than the sum of its proper divisors (34099378).

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

30117152 is a wasteful number, since it uses less digits than its factorization.

30117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 30117152 is about 5487.9096202470. The cubic root of 30117152 is about 311.1271902498.

Adding to 30117152 its reverse (25171103), we get a palindrome (55288255).

The spelling of 30117152 in words is "thirty million, one hundred seventeen thousand, one hundred fifty-two".