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10936 = 231367
BaseRepresentation
bin10101010111000
3120000001
42222320
5322221
6122344
743612
oct25270
916001
1010936
118242
1263b4
134c93
143db2
153391
hex2ab8

10936 has 8 divisors (see below), whose sum is σ = 20520. Its totient is φ = 5464.

The previous prime is 10909. The next prime is 10937. The reversal of 10936 is 63901.

10936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 6.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10937) 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 as a sum of consecutive naturals, namely, 676 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

210936 is an apocalyptic number.

It is an amenable number.

10936 is a deficient number, since it is larger than the sum of its proper divisors (9584).

10936 is a wasteful number, since it uses less digits than its factorization.

10936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10936 is about 104.5753316992. The cubic root of 10936 is about 22.1965852497.

It can be divided in two parts, 10 and 936, that added together give a triangular number (946 = T43).

The spelling of 10936 in words is "ten thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 1367 2734 5468 10936