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36768 = 253383
BaseRepresentation
bin1000111110100000
31212102210
420332200
52134033
6442120
7212124
oct107640
955383
1036768
1125696
1219340
1313974
14d584
15ad63
hex8fa0

36768 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 12224.

The previous prime is 36767. The next prime is 36779. The reversal of 36768 is 86763.

It is a tau number, because it is divible by the number of its divisors (24).

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 36768.

It is not an unprimeable number, because it can be changed into a prime (36761) by changing a digit.

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, 96 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

236768 is an apocalyptic number.

It is an amenable number.

36768 is an abundant number, since it is smaller than the sum of its proper divisors (60000).

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 (48384).

36768 is a wasteful number, since it uses less digits than its factorization.

36768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 36768 is about 191.7498370273. The cubic root of 36768 is about 33.2524260012.

It can be divided in two parts, 367 and 68, that added together give a triangular number (435 = T29).

The spelling of 36768 in words is "thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 36768