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10744 = 231779
BaseRepresentation
bin10100111111000
3112201221
42213320
5320434
6121424
743216
oct24770
915657
1010744
118088
126274
134b76
143cb6
1532b4
hex29f8

10744 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 4992.

The previous prime is 10739. The next prime is 10753. The reversal of 10744 is 44701.

It can be divided in two parts, 107 and 44, that added together give a palindrome (151).

10744 = 182 + 192 + ... + 332.

It is a happy number.

Together with 10856 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

210744 is an apocalyptic number.

It is an amenable number.

10744 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

10744 is a wasteful number, since it uses less digits than its factorization.

10744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10744 is about 103.6532681588. The cubic root of 10744 is about 22.0659179969.

The spelling of 10744 in words is "ten thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 17 34 68 79 136 158 316 632 1343 2686 5372 10744