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2005133 = 131743211
BaseRepresentation
bin111101001100010001101
310202212112012
413221202031
51003131013
6110551005
723020604
oct7514215
93685465
102005133
11114a539
12808465
13552890
143a2a3b
152991a8
hex1e988d

2005133 has 16 divisors (see below), whose sum is σ = 2350656. Its totient is φ = 1693440.

The previous prime is 2005121. The next prime is 2005139. The reversal of 2005133 is 3315002.

It is a cyclic number.

It is not a de Polignac number, because 2005133 - 210 = 2004109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9398 + ... + 9608.

It is an arithmetic number, because the mean of its divisors is an integer number (146916).

22005133 is an apocalyptic number.

It is an amenable number.

2005133 is a deficient number, since it is larger than the sum of its proper divisors (345523).

2005133 is a wasteful number, since it uses less digits than its factorization.

2005133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2005133 is about 1416.0271890045. The cubic root of 2005133 is about 126.0997991554.

The spelling of 2005133 in words is "two million, five thousand, one hundred thirty-three".

Divisors: 1 13 17 43 211 221 559 731 2743 3587 9073 9503 46631 117949 154241 2005133