Search a number
-
+
5740008 = 233239167
BaseRepresentation
bin10101111001010111101000
3101210121210220
4111321113220
52432140013
6323010040
766534501
oct25712750
911717726
105740008
11327060a
121b09920
13125c871
14a95ba8
15785b23
hex5795e8

5740008 has 16 divisors (see below), whose sum is σ = 14350080. Its totient is φ = 1913328.

The previous prime is 5740001. The next prime is 5740043. The reversal of 5740008 is 8000475.

5740008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 239167 = 5740008 / (5 + 7 + 4 + 0 + 0 + 0 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 5740008.

It is not an unprimeable number, because it can be changed into a prime (5740001) 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 3 ways as a sum of consecutive naturals, for example, 119560 + ... + 119607.

It is an arithmetic number, because the mean of its divisors is an integer number (896880).

Almost surely, 25740008 is an apocalyptic number.

It is an amenable number.

5740008 is an abundant number, since it is smaller than the sum of its proper divisors (8610072).

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

5740008 is a wasteful number, since it uses less digits than its factorization.

5740008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239176 (or 239172 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5740008 is about 2395.8313797093. The cubic root of 5740008 is about 179.0485600075.

The spelling of 5740008 in words is "five million, seven hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 239167 478334 717501 956668 1435002 1913336 2870004 5740008