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4005108 = 2232111253
BaseRepresentation
bin1111010001110011110100
321112110222100
433101303310
52011130413
6221502100
746020462
oct17216364
97473870
104005108
112296108
121411930
13aa2cb3
14763832
15541a73
hex3d1cf4

4005108 has 18 divisors (see below), whose sum is σ = 10124114. Its totient is φ = 1335024.

The previous prime is 4005091. The next prime is 4005119. The reversal of 4005108 is 8015004.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 272484 = 1932^2 + 522^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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, 55591 + ... + 55662.

Almost surely, 24005108 is an apocalyptic number.

It is an amenable number.

4005108 is an abundant number, since it is smaller than the sum of its proper divisors (6119006).

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

4005108 is a wasteful number, since it uses less digits than its factorization.

4005108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111263 (or 111258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4005108 is about 2001.2765925778. The cubic root of 4005108 is about 158.8076468262.

The spelling of 4005108 in words is "four million, five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 111253 222506 333759 445012 667518 1001277 1335036 2002554 4005108