Search a number
-
+
205896340 = 22513791909
BaseRepresentation
bin11000100010110…
…11101010010100
3112100102121200101
430101123222110
5410202140330
632233023444
75050042606
oct1421335224
9470377611
10205896340
11a624aa71
1258b54b84
1333870070
141d4b9176
15131214ca
hexc45ba94

205896340 has 24 divisors (see below), whose sum is σ = 465643080. Its totient is φ = 76023168.

The previous prime is 205896311. The next prime is 205896343. The reversal of 205896340 is 43698502.

It can be written as a sum of positive squares in 4 ways, for example, as 24940036 + 180956304 = 4994^2 + 13452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205896340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205896343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395695 + ... + 396214.

It is an arithmetic number, because the mean of its divisors is an integer number (19401795).

Almost surely, 2205896340 is an apocalyptic number.

205896340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205896340 is an abundant number, since it is smaller than the sum of its proper divisors (259746740).

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

205896340 is a wasteful number, since it uses less digits than its factorization.

205896340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791931 (or 791929 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 205896340 is about 14349.0884727916. The cubic root of 205896340 is about 590.4949786669.

The spelling of 205896340 in words is "two hundred five million, eight hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 791909 1583818 3167636 3959545 7919090 10294817 15838180 20589634 41179268 51474085 102948170 205896340