Search a number
-
+
5329800 = 233452747
BaseRepresentation
bin10100010101001110001000
3101000210010000
4110111032020
52331023200
6310123000
763205530
oct24251610
911023100
105329800
1130103a3
121950460
131147c38
149ca4c0
15704300
hex515388

5329800 has 240 divisors, whose sum is σ = 21605760. Its totient is φ = 1192320.

The previous prime is 5329787. The next prime is 5329801. The reversal of 5329800 is 89235.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113377 + ... + 113423.

It is an arithmetic number, because the mean of its divisors is an integer number (90024).

Almost surely, 25329800 is an apocalyptic number.

5329800 is a gapful number since it is divisible by the number (50) 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 5329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

5329800 is an abundant number, since it is smaller than the sum of its proper divisors (16275960).

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

5329800 is a wasteful number, since it uses less digits than its factorization.

5329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5329800 is about 2308.6359609085. The cubic root of 5329800 is about 174.6775012865.

The spelling of 5329800 in words is "five million, three hundred twenty-nine thousand, eight hundred".