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2010168 = 233227919
BaseRepresentation
bin111101010110000111000
310210010102200
413222300320
51003311133
6111030200
723041356
oct7526070
93703380
102010168
1111532a6
1280b360
13554c64
143a47d6
1529a913
hex1eac38

2010168 has 24 divisors (see below), whose sum is σ = 5444400. Its totient is φ = 670032.

The previous prime is 2010167. The next prime is 2010187. The reversal of 2010168 is 8610102.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2010168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010161) 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 5 ways as a sum of consecutive naturals, for example, 13888 + ... + 14031.

It is an arithmetic number, because the mean of its divisors is an integer number (226850).

22010168 is an apocalyptic number.

It is an amenable number.

2010168 is an abundant number, since it is smaller than the sum of its proper divisors (3434232).

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

2010168 is a wasteful number, since it uses less digits than its factorization.

2010168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27931 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2010168 is about 1417.8039356695. The cubic root of 2010168 is about 126.2052587925.

The spelling of 2010168 in words is "two million, ten thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27919 55838 83757 111676 167514 223352 251271 335028 502542 670056 1005084 2010168