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58136 = 2313243
BaseRepresentation
bin1110001100011000
32221202012
432030120
53330021
61125052
7331331
oct161430
987665
1058136
113a751
1229788
1320600
1417288
151235b
hexe318

58136 has 24 divisors (see below), whose sum is σ = 120780. Its totient is φ = 26208.

The previous prime is 58129. The next prime is 58147. The reversal of 58136 is 63185.

58136 = T29 + T30 + ... + T71.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

58136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1331 + ... + 1373.

258136 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 58136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60390).

58136 is an abundant number, since it is smaller than the sum of its proper divisors (62644).

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

58136 is a wasteful number, since it uses less digits than its factorization.

58136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 58136 is about 241.1140808829. The cubic root of 58136 is about 38.7389979171.

The spelling of 58136 in words is "fifty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 43 52 86 104 169 172 338 344 559 676 1118 1352 2236 4472 7267 14534 29068 58136