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2006305 = 57219431
BaseRepresentation
bin111101001110100100001
310202221010121
413221310201
51003200210
6111000241
723024200
oct7516441
93687117
102006305
111150404
12809081
13553282
143a3237
152996da
hex1e9d21

2006305 has 24 divisors (see below), whose sum is σ = 2954880. Its totient is φ = 1300320.

The previous prime is 2006299. The next prime is 2006317. The reversal of 2006305 is 5036002.

It is not a de Polignac number, because 2006305 - 23 = 2006297 is a prime.

2006305 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440 + ... + 4870.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

22006305 is an apocalyptic number.

It is an amenable number.

2006305 is a deficient number, since it is larger than the sum of its proper divisors (948575).

2006305 is a wasteful number, since it uses less digits than its factorization.

2006305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2006305 is about 1416.4409624125. The cubic root of 2006305 is about 126.1243628094.

The spelling of 2006305 in words is "two million, six thousand, three hundred five".

Divisors: 1 5 7 19 35 49 95 133 245 431 665 931 2155 3017 4655 8189 15085 21119 40945 57323 105595 286615 401261 2006305