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6032 = 241329
BaseRepresentation
bin1011110010000
322021102
41132100
5143112
643532
723405
oct13620
98242
106032
114594
1235a8
132990
1422ac
151bc2
hex1790

6032 has 20 divisors (see below), whose sum is σ = 13020. Its totient is φ = 2688.

The previous prime is 6029. The next prime is 6037. The reversal of 6032 is 2306.

Adding to 6032 its reverse (2306), we get a palindrome (8338).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 4096 = 44^2 + 64^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510).

6032 is an abundant number, since it is smaller than the sum of its proper divisors (6988).

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

6032 is a wasteful number, since it uses less digits than its factorization.

6032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 6032 is about 77.6659513558. The cubic root of 6032 is about 18.2034530340.

The spelling of 6032 in words is "six thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032