30112416 has 72 divisors (see below), whose sum is σ = 90155520. Its totient is φ = 9507456.

The previous prime is 30112403. The next prime is 30112421. The reversal of 30112416 is 61421103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2721 + ... + 8223.

It is an arithmetic number, because the mean of its divisors is an integer number (1252160).

Almost surely, 2^30112416 is an apocalyptic number.

30112416 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 30112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077760).

30112416 is an abundant number, since it is smaller than the sum of its proper divisors (60043104).

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

30112416 is a wasteful number, since it uses less digits than its factorization.

30112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30112416 is about 5487.4781092957. The cubic root of 30112416 is about 311.1108808766.

Adding to 30112416 its reverse (61421103), we get a palindrome (91533519).

The spelling of 30112416 in words is "thirty million, one hundred twelve thousand, four hundred sixteen".