Search a number
-
+
4002168 = 2331031619
BaseRepresentation
bin1111010001000101111000
321112022221110
433101011320
52011032133
6221440320
746006062
oct17210570
97468843
104002168
112293985
1214100a0
13aa1861
14762732
15540c63
hex3d1178

4002168 has 32 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 1320288.

The previous prime is 4002143. The next prime is 4002169. The reversal of 4002168 is 8612004.

4002168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4002168 is a modest number, since divided by 2168 gives 40 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002169) 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 7 ways as a sum of consecutive naturals, for example, 1663 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 24002168 is an apocalyptic number.

It is an amenable number.

4002168 is an abundant number, since it is smaller than the sum of its proper divisors (6106632).

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

4002168 is a wasteful number, since it uses less digits than its factorization.

4002168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4002168 is about 2000.5419265789. The cubic root of 4002168 is about 158.7687790627.

The spelling of 4002168 in words is "four million, two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 1619 2472 3238 4857 6476 9714 12952 19428 38856 166757 333514 500271 667028 1000542 1334056 2001084 4002168