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36736 = 27741
BaseRepresentation
bin1000111110000000
31212101121
420332000
52133421
6442024
7212050
oct107600
955347
1036736
1125667
1219314
131394b
14d560
15ad41
hex8f80

36736 has 32 divisors (see below), whose sum is σ = 85680. Its totient is φ = 15360.

The previous prime is 36721. The next prime is 36739. The reversal of 36736 is 63763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 36736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 876 + ... + 916.

236736 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 36736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840).

36736 is an abundant number, since it is smaller than the sum of its proper divisors (48944).

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

36736 is an equidigital number, since it uses as much as digits as its factorization.

36736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its digits is 2268, while the sum is 25.

The square root of 36736 is about 191.6663768114. Note that the first 3 decimals coincide. The cubic root of 36736 is about 33.2427764284.

The spelling of 36736 in words is "thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 9184 18368 36736