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58064180 = 22517170777
BaseRepresentation
bin1101110101111…
…1110100110100
311001020222002012
43131133310310
5104331023210
65432303352
71303352216
oct335376464
9131228065
1058064180
112a859529
1217541b58
13c04cb05
1479d65b6
15516e305
hex375fd34

58064180 has 24 divisors (see below), whose sum is σ = 129108168. Its totient is φ = 21859328.

The previous prime is 58064179. The next prime is 58064183. The reversal of 58064180 is 8146085.

It can be written as a sum of positive squares in 4 ways, for example, as 4276624 + 53787556 = 2068^2 + 7334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58064183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85049 + ... + 85728.

It is an arithmetic number, because the mean of its divisors is an integer number (5379507).

Almost surely, 258064180 is an apocalyptic number.

It is an amenable number.

58064180 is an abundant number, since it is smaller than the sum of its proper divisors (71043988).

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

58064180 is a wasteful number, since it uses less digits than its factorization.

58064180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170803 (or 170801 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 58064180 is about 7619.9855642908. The cubic root of 58064180 is about 387.2303889389.

The spelling of 58064180 in words is "fifty-eight million, sixty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 170777 341554 683108 853885 1707770 2903209 3415540 5806418 11612836 14516045 29032090 58064180