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58968 = 2334713
BaseRepresentation
bin1110011001011000
32222220000
432121120
53341333
61133000
7333630
oct163130
988800
1058968
1140338
122a160
1320ac0
14176c0
1512713
hexe658

58968 has 80 divisors (see below), whose sum is σ = 203280. Its totient is φ = 15552.

The previous prime is 58967. The next prime is 58979. The reversal of 58968 is 86985.

58968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3, base 6 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4530 + ... + 4542.

It is an arithmetic number, because the mean of its divisors is an integer number (2541).

258968 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 58968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640).

58968 is an abundant number, since it is smaller than the sum of its proper divisors (144312).

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

58968 is a wasteful number, since it uses less digits than its factorization.

58968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 25 counting only the distinct ones).

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

The square root of 58968 is about 242.8332761382. The cubic root of 58968 is about 38.9229247003.

The spelling of 58968 in words is "fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968