Search a number
-
+
205794 = 23337103
BaseRepresentation
bin110010001111100010
3101110022000
4302033202
523041134
64224430
71514661
oct621742
9343260
10205794
11130686
129b116
1372894
1454dd8
1540e99
hex323e2

205794 has 32 divisors (see below), whose sum is σ = 474240. Its totient is φ = 66096.

The previous prime is 205783. The next prime is 205817. The reversal of 205794 is 497502.

205794 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2205794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237120).

205794 is an abundant number, since it is smaller than the sum of its proper divisors (268446).

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

205794 is a wasteful number, since it uses less digits than its factorization.

205794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 205794 is about 453.6452358396. The cubic root of 205794 is about 59.0397128018.

It can be divided in two parts, 205 and 794, that added together give a palindrome (999).

The spelling of 205794 in words is "two hundred five thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 103 111 206 222 309 333 618 666 927 999 1854 1998 2781 3811 5562 7622 11433 22866 34299 68598 102897 205794