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58130094 = 2311329251
BaseRepresentation
bin1101110110111…
…1111010101110
311001101022111110
43131233322232
5104340130334
65433532450
71304045331
oct335577256
9131338443
1058130094
112a8a4000
1217574126
13c073b09
147a12618
155183ae9
hex376feae

58130094 has 64 divisors (see below), whose sum is σ = 132814080. Its totient is φ = 16940000.

The previous prime is 58130081. The next prime is 58130147. The reversal of 58130094 is 49003185.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231469 + ... + 231719.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 258130094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58130094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

58130094 is an abundant number, since it is smaller than the sum of its proper divisors (74683986).

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

58130094 is a wasteful number, since it uses less digits than its factorization.

58130094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 58130094 is about 7624.3094113500. The cubic root of 58130094 is about 387.3768604914.

The spelling of 58130094 in words is "fifty-eight million, one hundred thirty thousand, ninety-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 251 319 363 502 638 726 753 957 1331 1506 1914 2662 2761 3509 3993 5522 7018 7279 7986 8283 10527 14558 16566 21054 21837 30371 38599 43674 60742 77198 80069 91113 115797 160138 182226 231594 240207 334081 480414 668162 880759 1002243 1761518 2004486 2642277 5284554 9688349 19376698 29065047 58130094