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6036 = 223503
BaseRepresentation
bin1011110010100
322021120
41132110
5143121
643540
723412
oct13624
98246
106036
114598
1235b0
132994
1422b2
151bc6
hex1794

6036 has 12 divisors (see below), whose sum is σ = 14112. Its totient is φ = 2008.

The previous prime is 6029. The next prime is 6037. The reversal of 6036 is 6306.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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

6036 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 3 ways as a sum of consecutive naturals, for example, 240 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

26036 is an apocalyptic number.

It is an amenable number.

6036 is an abundant number, since it is smaller than the sum of its proper divisors (8076).

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 (7056).

6036 is a wasteful number, since it uses less digits than its factorization.

6036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 6036 is about 77.6916983982. The cubic root of 6036 is about 18.2074758967.

The spelling of 6036 in words is "six thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 503 1006 1509 2012 3018 6036