Search a number
-
+
36708 = 22371923
BaseRepresentation
bin1000111101100100
31212100120
420331210
52133313
6441540
7212010
oct107544
955316
1036708
1125641
12192b0
1313929
14d540
15ad23
hex8f64

36708 has 48 divisors (see below), whose sum is σ = 107520. Its totient is φ = 9504.

The previous prime is 36697. The next prime is 36709. The reversal of 36708 is 80763.

36708 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 d-powerful number, because it can be written as 35 + 64 + 74 + 0 + 85 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (36709) by changing a digit.

36708 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 15 ways as a sum of consecutive naturals, for example, 1585 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

236708 is an apocalyptic number.

36708 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

36708 is an abundant number, since it is smaller than the sum of its proper divisors (70812).

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

36708 is a wasteful number, since it uses less digits than its factorization.

36708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 36708 is about 191.5933192990. The cubic root of 36708 is about 33.2343284544.

The spelling of 36708 in words is "thirty-six thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 84 92 114 133 138 161 228 266 276 322 399 437 483 532 644 798 874 966 1311 1596 1748 1932 2622 3059 5244 6118 9177 12236 18354 36708