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16960 = 26553

16960 has 28 divisors (see below), whose sum is σ = 41148. Its totient is φ = 6656.

The previous prime is 16943. The next prime is 16963. The reversal of 16960 is 6961.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 7744 = 96^2 + 88^2 .

It is a nialpdrome in base 8 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16963) by changing a digit.

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, 294 + ... + 346.

216960 is an apocalyptic number.

16960 is a gapful number since it is divisible by the number (10) 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 16960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574).

16960 is an abundant number, since it is smaller than the sum of its proper divisors (24188).

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

16960 is an equidigital number, since it uses as much as digits as its factorization.

16960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 16960 is about 130.2305647688. The cubic root of 16960 is about 25.6926331542.

Subtracting from 16960 its reverse (6961), we obtain a palindrome (9999).

The spelling of 16960 in words is "sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960