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10824 = 2331141
BaseRepresentation
bin10101001001000
3112211220
42221020
5321244
6122040
743362
oct25110
915756
1010824
118150
126320
134c08
143d32
153319
hex2a48

10824 has 32 divisors (see below), whose sum is σ = 30240. Its totient is φ = 3200.

The previous prime is 10799. The next prime is 10831. The reversal of 10824 is 42801.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

10824 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 in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

10824 is a Friedman number, since it can be written as 104^2+8, using all its digits and the basic arithmetic operations.

210824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

10824 is an abundant number, since it is smaller than the sum of its proper divisors (19416).

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

10824 is a wasteful number, since it uses less digits than its factorization.

10824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10824 is about 104.0384544291. The cubic root of 10824 is about 22.1205503516.

The spelling of 10824 in words is "ten thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824