Search a number
-
+
6000528 = 243149839
BaseRepresentation
bin10110111000111110010000
3102021212011210
4112320332100
53014004103
6332340120
7102001152
oct26707620
912255153
106000528
113429316
122014640
131321311
14b22ad2
157d7e03
hex5b8f90

6000528 has 40 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1984384.

The previous prime is 6000503. The next prime is 6000529. The reversal of 6000528 is 8250006.

It is a happy number.

6000528 is nontrivially palindromic in base 5.

6000528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6000529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6733 + ... + 7571.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 26000528 is an apocalyptic number.

It is an amenable number.

6000528 is an abundant number, since it is smaller than the sum of its proper divisors (9623472).

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

6000528 is a wasteful number, since it uses less digits than its factorization.

6000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 6000528 is about 2449.5975179609. The cubic root of 6000528 is about 181.7173893473.

It can be divided in two parts, 600052 and 8, that added together give a triangular number (600060 = T1095).

The spelling of 6000528 in words is "six million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 839 894 1192 1678 1788 2384 2517 3356 3576 5034 6712 7152 10068 13424 20136 40272 125011 250022 375033 500044 750066 1000088 1500132 2000176 3000264 6000528