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13794 = 2311219
BaseRepresentation
bin11010111100010
3200220220
43113202
5420134
6143510
755134
oct32742
920826
1013794
11a400
127b96
136381
145054
154149
hex35e2

13794 has 24 divisors (see below), whose sum is σ = 31920. Its totient is φ = 3960.

The previous prime is 13789. The next prime is 13799. The reversal of 13794 is 49731.

It is an interprime number because it is at equal distance from previous prime (13789) and next prime (13799).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

213794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960).

13794 is an abundant number, since it is smaller than the sum of its proper divisors (18126).

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

13794 is a wasteful number, since it uses less digits than its factorization.

13794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 35 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 13794 is about 117.4478607723. The cubic root of 13794 is about 23.9826263151.

Subtracting 13794 from its reverse (49731), we obtain a cube (35937 = 333).

It can be divided in two parts, 137 and 94, that added together give a triangular number (231 = T21).

The spelling of 13794 in words is "thirteen thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 13794