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6536 = 231943
BaseRepresentation
bin1100110001000
322222002
41212020
5202121
650132
725025
oct14610
98862
106536
114a02
123948
132c8a
14254c
151e0b
hex1988

6536 has 16 divisors (see below), whose sum is σ = 13200. Its totient is φ = 3024.

The previous prime is 6529. The next prime is 6547. The reversal of 6536 is 6356.

It is a nialpdrome in base 9.

It is an unprimeable number.

6536 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (825).

26536 is an apocalyptic number.

It is an amenable number.

6536 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600).

6536 is a wasteful number, since it uses less digits than its factorization.

6536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 6536 is about 80.8455317256. The cubic root of 6536 is about 18.6969463209.

Adding to 6536 its sum of digits (20), we get a palindrome (6556).

It can be divided in two parts, 65 and 36, that added together give a palindrome (101).

The spelling of 6536 in words is "six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 19 38 43 76 86 152 172 344 817 1634 3268 6536