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2005902 = 232111439
BaseRepresentation
bin111101001101110001110
310202220120200
413221232032
51003142102
6110554330
723023053
oct7515616
93686520
102005902
111150078
128089a6
13553032
143a302a
1529951c
hex1e9b8e

2005902 has 12 divisors (see below), whose sum is σ = 4346160. Its totient is φ = 668628.

The previous prime is 2005879. The next prime is 2005903. The reversal of 2005902 is 2095002.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111439 = 2005902 / (2 + 0 + 0 + 5 + 9 + 0 + 2).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005903) 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 5 ways as a sum of consecutive naturals, for example, 55702 + ... + 55737.

It is an arithmetic number, because the mean of its divisors is an integer number (362180).

22005902 is an apocalyptic number.

2005902 is an abundant number, since it is smaller than the sum of its proper divisors (2340258).

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

2005902 is a wasteful number, since it uses less digits than its factorization.

2005902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111447 (or 111444 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2005902 is about 1416.2986973093. The cubic root of 2005902 is about 126.1159175129.

The spelling of 2005902 in words is "two million, five thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 111439 222878 334317 668634 1002951 2005902