30016 has 28 divisors (see below), whose sum is σ = 69088. Its totient is φ = 12672.

The previous prime is 30013. The next prime is 30029. The reversal of 30016 is 61003.

30016 = 13³ + 14³ + ... + 19³.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 29984 and 30011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 415 + ... + 481.

2³⁰⁰¹⁶ 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 30016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544).

30016 is an abundant number, since it is smaller than the sum of its proper divisors (39072).

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

30016 is an equidigital number, since it uses as much as digits as its factorization.

30016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 30016 is about 173.2512626217. The cubic root of 30016 is about 31.0778480467.

Adding to 30016 its reverse (61003), we get a palindrome (91019).

The spelling of 30016 in words is "thirty thousand, sixteen".