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205379 = 593
BaseRepresentation
bin110010001001000011
3101102201122
4302021003
523033004
64222455
71513526
oct621103
9342648
10205379
11130339
129aa2b
1372635
1454bbd
1540cbe
hex32243

205379 has 4 divisors (see below), whose sum is σ = 208920. Its totient is φ = 201898.

The previous prime is 205357. The next prime is 205391. The reversal of 205379 is 973502.

The cubic root of 205379 is 59.

It is a perfect power (a cube), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-205379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3452 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (52230).

205379 is a Friedman number, since it can be written as 59^((7+2+0)/3), using all its digits and the basic arithmetic operations.

2205379 is an apocalyptic number.

205379 is a deficient number, since it is larger than the sum of its proper divisors (3541).

205379 is an frugal number, since it uses more digits than its factorization.

205379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 205379 is about 453.1875991242.

The spelling of 205379 in words is "two hundred five thousand, three hundred seventy-nine".

Divisors: 1 59 3481 205379