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2968 = 23753

2968 has 16 divisors (see below), whose sum is σ = 6480. Its totient is φ = 1248.

The previous prime is 2963. The next prime is 2969. The reversal of 2968 is 8692.

2968 is nontrivially palindromic in base 15.

2968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2968 is an undulating number in base 15.

It is a plaindrome in base 11.

It is a nialpdrome in base 5 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963) by changing a digit.

2968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

2968 is a gapful number since it is divisible by the number (28) 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 2968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240).

2968 is an abundant number, since it is smaller than the sum of its proper divisors (3512).

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

2968 is a wasteful number, since it uses less digits than its factorization.

2968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 2968 is about 54.4793538875. The cubic root of 2968 is about 14.3710323013.

It can be divided in two parts, 2 and 968, that multiplied together give a square (1936 = 442).

The spelling of 2968 in words is "two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968