11330016 has 48 divisors (see below), whose sum is σ = 30046464. Its totient is φ = 3737984.

The previous prime is 11330009. The next prime is 11330021. The reversal of 11330016 is 61003311.

11330016 = 1118² + 1119² + ... + 1126².

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11329977 and 11330004.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9721 + ... + 10823.

It is an arithmetic number, because the mean of its divisors is an integer number (625968).

Almost surely, 2^11330016 is an apocalyptic number.

11330016 is a gapful number since it is divisible by the number (16) 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 11330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023232).

11330016 is an abundant number, since it is smaller than the sum of its proper divisors (18716448).

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

11330016 is a wasteful number, since it uses less digits than its factorization.

11330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 11330016 is about 3366.0089126442. The cubic root of 11330016 is about 224.6002184813.

Adding to 11330016 its reverse (61003311), we get a palindrome (72333327).

The spelling of 11330016 in words is "eleven million, three hundred thirty thousand, sixteen".