Search a number
-
+
536328 = 233313191
BaseRepresentation
bin10000010111100001000
31000020201000
42002330020
5114130303
615255000
74362432
oct2027410
91006630
10536328
11336a51
1221a460
1315a170
14dd652
15a8da3
hex82f08

536328 has 64 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 164160.

The previous prime is 536323. The next prime is 536353. The reversal of 536328 is 823635.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (536323) by changing a digit.

536328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2713 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2536328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

536328 is an abundant number, since it is smaller than the sum of its proper divisors (1076472).

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

536328 is a wasteful number, since it uses less digits than its factorization.

536328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 536328 is about 732.3441813792. The cubic root of 536328 is about 81.2475281299.

The spelling of 536328 in words is "five hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 191 216 234 312 351 382 468 573 702 764 936 1146 1404 1528 1719 2292 2483 2808 3438 4584 4966 5157 6876 7449 9932 10314 13752 14898 19864 20628 22347 29796 41256 44694 59592 67041 89388 134082 178776 268164 536328