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6016 = 2747

6016 has 16 divisors (see below), whose sum is σ = 12240. Its totient is φ = 2944.

The previous prime is 6011. The next prime is 6029. The reversal of 6016 is 6106.

6016 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5987 and 6005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

26016 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 6016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120).

6016 is an abundant number, since it is smaller than the sum of its proper divisors (6224).

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

6016 is an equidigital number, since it uses as much as digits as its factorization.

6016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6016 is about 77.5628777187. The cubic root of 6016 is about 18.1873437751.

The spelling of 6016 in words is "six thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016