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58730064 = 2431971907
BaseRepresentation
bin1110000000001…
…0011001010000
311002111210111120
43200002121100
5110013330224
65454442240
71312124451
oct340023120
9132453446
1058730064
1130173848
1217803380
13c223c23
147b2b128
155251779
hex3802650

58730064 has 80 divisors (see below), whose sum is σ = 162132480. Its totient is φ = 18264960.

The previous prime is 58730057. The next prime is 58730071. The reversal of 58730064 is 46003785.

It is an interprime number because it is at equal distance from previous prime (58730057) and next prime (58730071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64299 + ... + 65205.

It is an arithmetic number, because the mean of its divisors is an integer number (2026656).

Almost surely, 258730064 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 58730064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81066240).

58730064 is an abundant number, since it is smaller than the sum of its proper divisors (103402416).

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

58730064 is a wasteful number, since it uses less digits than its factorization.

58730064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 58730064 is about 7663.5542667877. The cubic root of 58730064 is about 388.7050276929.

The spelling of 58730064 in words is "fifty-eight million, seven hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 142 152 213 228 284 304 426 456 568 852 907 912 1136 1349 1704 1814 2698 2721 3408 3628 4047 5396 5442 7256 8094 10792 10884 14512 16188 17233 21584 21768 32376 34466 43536 51699 64397 64752 68932 103398 128794 137864 193191 206796 257588 275728 386382 413592 515176 772764 827184 1030352 1223543 1545528 2447086 3091056 3670629 4894172 7341258 9788344 14682516 19576688 29365032 58730064