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6396 = 2231341
BaseRepresentation
bin1100011111100
322202220
41203330
5201041
645340
724435
oct14374
98686
106396
114895
123850
132bb0
14248c
151d66
hex18fc

6396 has 24 divisors (see below), whose sum is σ = 16464. Its totient is φ = 1920.

The previous prime is 6389. The next prime is 6397. The reversal of 6396 is 6936.

6396 is an undulating number in base 9.

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6397) by changing a digit.

6396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (686).

26396 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 6396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232).

6396 is an abundant number, since it is smaller than the sum of its proper divisors (10068).

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

6396 is a wasteful number, since it uses less digits than its factorization.

6396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 6396 is about 79.9749960925. The cubic root of 6396 is about 18.5624865376.

The spelling of 6396 in words is "six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396