Search a number
-
+
6864396 = 223711171923
BaseRepresentation
bin11010001011111000001100
3110220202011220
4122023320030
53224130041
6403043340
7112226550
oct32137014
913822156
106864396
113969360
122370550
131564596
14ca9860
15908d66
hex68be0c

6864396 has 192 divisors, whose sum is σ = 23224320. Its totient is φ = 1520640.

The previous prime is 6864383. The next prime is 6864427. The reversal of 6864396 is 6934686.

6864396 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 (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 298441 + ... + 298463.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 26864396 is an apocalyptic number.

6864396 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6864396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

6864396 is an abundant number, since it is smaller than the sum of its proper divisors (16359924).

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

6864396 is a wasteful number, since it uses less digits than its factorization.

6864396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6864396 is about 2619.9992366411. Note that the first 3 decimals coincide. The cubic root of 6864396 is about 190.0498115014.

It can be divided in two parts, 6864 and 396, that added together give a triangular number (7260 = T120).

The spelling of 6864396 in words is "six million, eight hundred sixty-four thousand, three hundred ninety-six".