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10984 = 231373
BaseRepresentation
bin10101011101000
3120001211
42223220
5322414
6122504
744011
oct25350
916054
1010984
118286
126434
134ccc
144008
1533c4
hex2ae8

10984 has 8 divisors (see below), whose sum is σ = 20610. Its totient is φ = 5488.

The previous prime is 10979. The next prime is 10987. The reversal of 10984 is 48901.

10984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 4900 = 78^2 + 70^2 .

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10987) 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, 679 + ... + 694.

210984 is an apocalyptic number.

It is an amenable number.

10984 is a deficient number, since it is larger than the sum of its proper divisors (9626).

10984 is a wasteful number, since it uses less digits than its factorization.

10984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10984 is about 104.8045800526. The cubic root of 10984 is about 22.2290127396.

The spelling of 10984 in words is "ten thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 1373 2746 5492 10984