16016 has 40 divisors (see below), whose sum is σ = 41664. Its totient is φ = 5760.

The previous prime is 16007. The next prime is 16033. The reversal of 16016 is 61061.

Adding to 16016 its reverse (61061), we get a palindrome (77077).

16016 = T_{43} + T_{44} + ... +
T_{55}.

16016 is nontrivially palindromic in base 3.

16016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 4.

It is an unprimeable number.

16016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226 + ... + 1238.

2^{16016} is an apocalyptic number.

16016 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 16016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

16016 is an abundant number, since it is smaller than the sum of its proper divisors (25648).

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

16016 is a wasteful number, since it uses less digits than its factorization.

16016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 16016 is about 126.5543361565. The cubic root of 16016 is about 25.2068176733.

The spelling of 16016 in words is "sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016

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