Search a number
-
+
4102868 = 2272112173
BaseRepresentation
bin1111101001101011010100
321201110002002
433221223110
52022242433
6223534432
746605500
oct17515324
97643062
104102868
112352600
12145a418
13b08643
1478b300
155609e8
hex3e9ad4

4102868 has 54 divisors (see below), whose sum is σ = 9233658. Its totient is φ = 1589280.

The previous prime is 4102867. The next prime is 4102883. The reversal of 4102868 is 8682014.

It can be written as a sum of positive squares in only one way, i.e., 4008004 + 94864 = 2002^2 + 308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4102868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102867) 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 17 ways as a sum of consecutive naturals, for example, 23630 + ... + 23802.

Almost surely, 24102868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616829).

4102868 is an abundant number, since it is smaller than the sum of its proper divisors (5130790).

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

4102868 is a wasteful number, since it uses less digits than its factorization.

4102868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4102868 is about 2025.5537514467. The cubic root of 4102868 is about 160.0893771473.

The spelling of 4102868 in words is "four million, one hundred two thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 173 196 242 308 346 484 539 692 847 1078 1211 1694 1903 2156 2422 3388 3806 4844 5929 7612 8477 11858 13321 16954 20933 23716 26642 33908 41866 53284 83732 93247 146531 186494 293062 372988 586124 1025717 2051434 4102868