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10888 = 231361
BaseRepresentation
bin10101010001000
3112221021
42222020
5322023
6122224
743513
oct25210
915837
1010888
1181a9
126374
134c57
143d7a
15335d
hex2a88

10888 has 8 divisors (see below), whose sum is σ = 20430. Its totient is φ = 5440.

The previous prime is 10883. The next prime is 10889. The reversal of 10888 is 88801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 484 = 102^2 + 22^2 .

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

It is a plaindrome in base 6 and base 15.

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

10888 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 673 + ... + 688.

210888 is an apocalyptic number.

It is an amenable number.

10888 is a deficient number, since it is larger than the sum of its proper divisors (9542).

10888 is a wasteful number, since it uses less digits than its factorization.

10888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 10888 is about 104.3455796860. The cubic root of 10888 is about 22.1640627339.

It can be divided in two parts, 108 and 88, that added together give a square (196 = 142).

The spelling of 10888 in words is "ten thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 1361 2722 5444 10888