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32136 = 23313103
BaseRepresentation
bin111110110001000
31122002020
413312020
52012021
6404440
7162456
oct76610
948066
1032136
1122165
1216720
1311820
14b9d6
1597c6
hex7d88

32136 has 32 divisors (see below), whose sum is σ = 87360. Its totient is φ = 9792.

The previous prime is 32119. The next prime is 32141. The reversal of 32136 is 63123.

32136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is an unprimeable number.

32136 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 7 ways as a sum of consecutive naturals, for example, 261 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

232136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

32136 is an abundant number, since it is smaller than the sum of its proper divisors (55224).

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

32136 is a wasteful number, since it uses less digits than its factorization.

32136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 32136 is about 179.2651667224. The cubic root of 32136 is about 31.7929338360.

Adding to 32136 its reverse (63123), we get a palindrome (95259).

The spelling of 32136 in words is "thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 618 824 1236 1339 2472 2678 4017 5356 8034 10712 16068 32136