Search a number
-
+
5740668 = 2232159463
BaseRepresentation
bin10101111001100001111100
3101210122201100
4111321201330
52432200133
6323013100
766536433
oct25714174
911718640
105740668
11327105a
121b0a190
13125cc5b
14a9611a
15785e13
hex57987c

5740668 has 18 divisors (see below), whose sum is σ = 14511224. Its totient is φ = 1913544.

The previous prime is 5740663. The next prime is 5740681. The reversal of 5740668 is 8660475.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 159463 = 5740668 / (5 + 7 + 4 + 0 + 6 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740663) 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 5 ways as a sum of consecutive naturals, for example, 79696 + ... + 79767.

Almost surely, 25740668 is an apocalyptic number.

It is an amenable number.

5740668 is an abundant number, since it is smaller than the sum of its proper divisors (8770556).

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

5740668 is a wasteful number, since it uses less digits than its factorization.

5740668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159473 (or 159468 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5740668 is about 2395.9691149929. The cubic root of 5740668 is about 179.0554222233.

The spelling of 5740668 in words is "five million, seven hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 159463 318926 478389 637852 956778 1435167 1913556 2870334 5740668