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10887 = 319191

10887 has 8 divisors (see below), whose sum is σ = 15360. Its totient is φ = 6840.

The previous prime is 10883. The next prime is 10889. The reversal of 10887 is 78801.

10887 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10887 - 22 = 10883 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 6 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10887.

It is not an unprimeable number, because it can be changed into a prime (10883) by changing a digit.

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, 39 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

210887 is an apocalyptic number.

10887 is a deficient number, since it is larger than the sum of its proper divisors (4473).

10887 is a wasteful number, since it uses less digits than its factorization.

10887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10887 is about 104.3407878061. The cubic root of 10887 is about 22.1633841660.

The spelling of 10887 in words is "ten thousand, eight hundred eighty-seven".

Divisors: 1 3 19 57 191 573 3629 10887