Search a number
-
+
206505 = 32513353
BaseRepresentation
bin110010011010101001
3101111021100
4302122221
523102010
64232013
71520025
oct623251
9344240
10206505
11131172
129b609
1372cc0
1455385
15412c0
hex326a9

206505 has 24 divisors (see below), whose sum is σ = 386568. Its totient is φ = 101376.

The previous prime is 206501. The next prime is 206519. The reversal of 206505 is 505602.

206505 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 4 ways, for example, as 1296 + 205209 = 36^2 + 453^2 .

It is not a de Polignac number, because 206505 - 22 = 206501 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206505.

It is not an unprimeable number, because it can be changed into a prime (206501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (16107).

2206505 is an apocalyptic number.

It is an amenable number.

206505 is a deficient number, since it is larger than the sum of its proper divisors (180063).

206505 is a wasteful number, since it uses less digits than its factorization.

206505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 206505 is about 454.4282121524. The cubic root of 206505 is about 59.1076269714.

The spelling of 206505 in words is "two hundred six thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 353 585 1059 1765 3177 4589 5295 13767 15885 22945 41301 68835 206505