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58830060 = 22351138677
BaseRepresentation
bin1110000001101…
…0110011101100
311002200212200010
43200122303230
5110030030220
65500533220
71313022132
oct340326354
9132625603
1058830060
1130231993
1217851210
13c25a5b3
147b55752
1552711e0
hex381acec

58830060 has 48 divisors (see below), whose sum is σ = 166201056. Its totient is φ = 15547392.

The previous prime is 58830059. The next prime is 58830071. The reversal of 58830060 is 6003885.

58830060 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 (30).

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, 2442 + ... + 11118.

It is an arithmetic number, because the mean of its divisors is an integer number (3462522).

Almost surely, 258830060 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 58830060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83100528).

58830060 is an abundant number, since it is smaller than the sum of its proper divisors (107370996).

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

58830060 is a wasteful number, since it uses less digits than its factorization.

58830060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58830060 is about 7670.0756189232. The cubic root of 58830060 is about 388.9255105044.

The spelling of 58830060 in words is "fifty-eight million, eight hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 8677 17354 26031 34708 43385 52062 86770 104124 130155 173540 260310 520620 980501 1961002 2941503 3922004 4902505 5883006 9805010 11766012 14707515 19610020 29415030 58830060