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36696 = 23311139
BaseRepresentation
bin1000111101011000
31212100010
420331120
52133241
6441520
7211662
oct107530
955303
1036696
1125630
12192a0
131391a
14d532
15ad16
hex8f58

36696 has 32 divisors (see below), whose sum is σ = 100800. Its totient is φ = 11040.

The previous prime is 36691. The next prime is 36697. The reversal of 36696 is 69663.

36696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36696.

It is not an unprimeable number, because it can be changed into a prime (36691) 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, 195 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

236696 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 36696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

36696 is an abundant number, since it is smaller than the sum of its proper divisors (64104).

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

36696 is a wasteful number, since it uses less digits than its factorization.

36696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 36696 is about 191.5620004072. The cubic root of 36696 is about 33.2307065790.

The spelling of 36696 in words is "thirty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 417 556 834 1112 1529 1668 3058 3336 4587 6116 9174 12232 18348 36696