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2128 = 24719

2128 has 20 divisors (see below), whose sum is σ = 4960. Its totient is φ = 864.

The previous prime is 2113. The next prime is 2129. The reversal of 2128 is 8212.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129) by changing a digit.

2128 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103 + ... + 121.

It is an arithmetic number, because the mean of its divisors is an integer number (248).

2128 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 2128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480).

2128 is an abundant number, since it is smaller than the sum of its proper divisors (2832).

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

2128 is a wasteful number, since it uses less digits than its factorization.

2128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 28 counting only the distinct ones).

The product of its digits is 32, while the sum is 13.

The square root of 2128 is about 46.1302503787. The cubic root of 2128 is about 12.8624551828.

Subtracting 2128 from its reverse (8212), we obtain a square (6084 = 782).

It can be divided in two parts, 21 and 28, that added together give a square (49 = 72).

The spelling of 2128 in words is "two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128