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58998680 = 23513234933
BaseRepresentation
bin1110000100001…
…1111110011000
311010000102222022
43201003332120
5110100424210
65504314012
71314323546
oct341037630
9133012868
1058998680
1130337644
1217912908
13c2b9280
147b9ad96
1552a6155
hex3843f98

58998680 has 64 divisors (see below), whose sum is σ = 149204160. Its totient is φ = 20832768.

The previous prime is 58998679. The next prime is 58998691. The reversal of 58998680 is 8689985.

58998680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9494 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (2331315).

Almost surely, 258998680 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 58998680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74602080).

58998680 is an abundant number, since it is smaller than the sum of its proper divisors (90205480).

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

58998680 is a wasteful number, since it uses less digits than its factorization.

58998680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The square root of 58998680 is about 7681.0598227068. The cubic root of 58998680 is about 389.2967383141.

The spelling of 58998680 in words is "fifty-eight million, nine hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 4933 5980 9866 11960 19732 24665 39464 49330 64129 98660 113459 128258 197320 226918 256516 320645 453836 513032 567295 641290 907672 1134590 1282580 1474967 2269180 2565160 2949934 4538360 5899868 7374835 11799736 14749670 29499340 58998680