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36141 = 371721
BaseRepresentation
bin1000110100101101
31211120120
420310231
52124031
6435153
7210240
oct106455
954516
1036141
1125176
1218ab9
13135b1
14d257
15aa96
hex8d2d

36141 has 8 divisors (see below), whose sum is σ = 55104. Its totient is φ = 20640.

The previous prime is 36137. The next prime is 36151. The reversal of 36141 is 14163.

36141 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 sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36141 - 22 = 36137 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 36141.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36141.

It is not an unprimeable number, because it can be changed into a prime (36131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (6888).

236141 is an apocalyptic number.

It is an amenable number.

36141 is a deficient number, since it is larger than the sum of its proper divisors (18963).

36141 is a wasteful number, since it uses less digits than its factorization.

36141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731.

The product of its digits is 72, while the sum is 15.

The square root of 36141 is about 190.1078641193. The cubic root of 36141 is about 33.0623248252.

The spelling of 36141 in words is "thirty-six thousand, one hundred forty-one".

Divisors: 1 3 7 21 1721 5163 12047 36141