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36656 = 242979
BaseRepresentation
bin1000111100110000
31212021122
420330300
52133111
6441412
7211604
oct107460
955248
1036656
11255a4
1219268
13138b9
14d504
15acdb
hex8f30

36656 has 20 divisors (see below), whose sum is σ = 74400. Its totient is φ = 17472.

The previous prime is 36653. The next prime is 36671. The reversal of 36656 is 65663.

It is a d-powerful number, because it can be written as 39 + 64 + 65 + 53 + 65 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36656.

It is not an unprimeable number, because it can be changed into a prime (36653) 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, 425 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

236656 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 36656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200).

36656 is an abundant number, since it is smaller than the sum of its proper divisors (37744).

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

36656 is a wasteful number, since it uses less digits than its factorization.

36656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 3240, while the sum is 26.

The square root of 36656 is about 191.4575671004. The cubic root of 36656 is about 33.2186279553.

The spelling of 36656 in words is "thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 316 464 632 1264 2291 4582 9164 18328 36656