Search a number
-
+
36131661 = 3219121019
BaseRepresentation
bin1000100111010…
…1001101001101
32111222200022200
42021311031031
533222203121
63330232113
7616054056
oct211651515
974880280
1036131661
1119439285
1210125639
137640ba7
144b2772d
15328aa26
hex227534d

36131661 has 12 divisors (see below), whose sum is σ = 52465920. Its totient is φ = 23960520.

The previous prime is 36131633. The next prime is 36131663. The reversal of 36131661 is 16613163.

It is a happy number.

36131661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36131661 - 29 = 36131149 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8791 + ... + 12228.

It is an arithmetic number, because the mean of its divisors is an integer number (4372160).

Almost surely, 236131661 is an apocalyptic number.

It is an amenable number.

36131661 is a deficient number, since it is larger than the sum of its proper divisors (16334259).

36131661 is a wasteful number, since it uses less digits than its factorization.

36131661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216 (or 21213 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 36131661 is about 6010.9617366941. The cubic root of 36131661 is about 330.5947676112.

The spelling of 36131661 in words is "thirty-six million, one hundred thirty-one thousand, six hundred sixty-one".

Divisors: 1 3 9 191 573 1719 21019 63057 189171 4014629 12043887 36131661