Search a number
-
+
5658320 = 24570729
BaseRepresentation
bin10101100101011011010000
3101122110202102
4111211123100
52422031240
6321135532
766044363
oct25453320
911573672
105658320
1132151a8
121a8a5a8
131231625
14a740da
1576b815
hex5656d0

5658320 has 20 divisors (see below), whose sum is σ = 13155780. Its totient is φ = 2263296.

The previous prime is 5658307. The next prime is 5658329. The reversal of 5658320 is 238565.

It can be written as a sum of positive squares in 2 ways, for example, as 2808976 + 2849344 = 1676^2 + 1688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658329) 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 3 ways as a sum of consecutive naturals, for example, 35285 + ... + 35444.

It is an arithmetic number, because the mean of its divisors is an integer number (657789).

Almost surely, 25658320 is an apocalyptic number.

It is an amenable number.

5658320 is an abundant number, since it is smaller than the sum of its proper divisors (7497460).

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

5658320 is a wasteful number, since it uses less digits than its factorization.

5658320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70742 (or 70736 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5658320 is about 2378.7223461346. The cubic root of 5658320 is about 178.1951317151.

The spelling of 5658320 in words is "five million, six hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 70729 141458 282916 353645 565832 707290 1131664 1414580 2829160 5658320