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36906 = 236151
BaseRepresentation
bin1001000000101010
31212121220
421000222
52140111
6442510
7212412
oct110052
955556
1036906
1125801
1219436
1313a4c
14d642
15ae06
hex902a

36906 has 8 divisors (see below), whose sum is σ = 73824. Its totient is φ = 12300.

The previous prime is 36901. The next prime is 36913. The reversal of 36906 is 60963.

It is a sphenic number, since it is the product of 3 distinct primes.

36906 is an admirable number.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36906.

It is not an unprimeable number, because it can be changed into a prime (36901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3070 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (9228).

236906 is an apocalyptic number.

36906 is the 122-nd centered pentagonal number.

36906 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (36912).

36906 is a wasteful number, since it uses less digits than its factorization.

36906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36906 is about 192.1093438644. The cubic root of 36906 is about 33.2939757700.

The spelling of 36906 in words is "thirty-six thousand, nine hundred six".

Divisors: 1 2 3 6 6151 12302 18453 36906