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58986 = 23229113
BaseRepresentation
bin1110011001101010
32222220200
432121222
53341421
61133030
7333654
oct163152
988820
1058986
1140354
122a176
1320b05
14176d4
1512726
hexe66a

58986 has 24 divisors (see below), whose sum is σ = 133380. Its totient is φ = 18816.

The previous prime is 58979. The next prime is 58991. The reversal of 58986 is 68985.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 5625 = 231^2 + 75^2 .

It is a Curzon number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 58986.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 578.

258986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

58986 is an abundant number, since it is smaller than the sum of its proper divisors (74394).

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

58986 is a wasteful number, since it uses less digits than its factorization.

58986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 58986 is about 242.8703357761. The cubic root of 58986 is about 38.9268847089.

Subtracting 58986 from its reverse (68985), we obtain a palindrome (9999).

The spelling of 58986 in words is "fifty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 29 58 87 113 174 226 261 339 522 678 1017 2034 3277 6554 9831 19662 29493 58986