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36138 = 2319317
BaseRepresentation
bin1000110100101010
31211120110
420310222
52124023
6435150
7210234
oct106452
954513
1036138
1125173
1218ab6
13135ab
14d254
15aa93
hex8d2a

36138 has 16 divisors (see below), whose sum is σ = 76320. Its totient is φ = 11376.

The previous prime is 36137. The next prime is 36151. The reversal of 36138 is 83163.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36138.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (4770).

236138 is an apocalyptic number.

36138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

36138 is an abundant number, since it is smaller than the sum of its proper divisors (40182).

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 (38160).

36138 is a wasteful number, since it uses less digits than its factorization.

36138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 432, while the sum is 21.

The square root of 36138 is about 190.0999736981. The cubic root of 36138 is about 33.0614099850.

The spelling of 36138 in words is "thirty-six thousand, one hundred thirty-eight".