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68058 = 23219199
BaseRepresentation
bin10000100111011010
310110100200
4100213122
54134213
61243030
7402264
oct204732
9113320
1068058
1147151
1233476
1324c93
141ab34
1515273
hex109da

68058 has 24 divisors (see below), whose sum is σ = 156000. Its totient is φ = 21384.

The previous prime is 68053. The next prime is 68059. The reversal of 68058 is 85086.

It is a super-3 number, since 3×680583 = 945711787353336, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (68053) by changing a digit.

68058 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 11 ways as a sum of consecutive naturals, for example, 243 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (6500).

268058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78000).

68058 is an abundant number, since it is smaller than the sum of its proper divisors (87942).

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

68058 is a wasteful number, since it uses less digits than its factorization.

68058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68058 is about 260.8792824277. The cubic root of 68058 is about 40.8281524270.

The spelling of 68058 in words is "sixty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 199 342 398 597 1194 1791 3582 3781 7562 11343 22686 34029 68058