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6058032680 = 235725952387
BaseRepresentation
bin1011010010001011…
…00011111000101000
3120122012020221112202
411221011203320220
544401324021210
62441044355332
7303060266600
oct55105437050
916565227482
106058032680
112629668687
1212109a5b48
1375710742b
144167d7c00
15256c9c9a5
hex169163e28

6058032680 has 96 divisors (see below), whose sum is σ = 16125026400. Its totient is φ = 2041796736.

The previous prime is 6058032649. The next prime is 6058032697. The reversal of 6058032680 is 862308506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89447 + ... + 141833.

It is an arithmetic number, because the mean of its divisors is an integer number (167969025).

Almost surely, 26058032680 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 6058032680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062513200).

6058032680 is an abundant number, since it is smaller than the sum of its proper divisors (10066993720).

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

6058032680 is a wasteful number, since it uses less digits than its factorization.

6058032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52471 (or 52460 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 6058032680 is about 77833.3648251185. The cubic root of 6058032680 is about 1822.9602711987.

The spelling of 6058032680 in words is "six billion, fifty-eight million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 59 70 98 118 140 196 236 245 280 295 392 413 472 490 590 826 980 1180 1652 1960 2065 2360 2891 3304 4130 5782 8260 11564 14455 16520 23128 28910 52387 57820 104774 115640 209548 261935 366709 419096 523870 733418 1047740 1466836 1833545 2095480 2566963 2933672 3090833 3667090 5133926 6181666 7334180 10267852 12363332 12834815 14668360 15454165 20535704 21635831 24726664 25669630 30908330 43271662 51339260 61816660 86543324 102678520 108179155 123633320 151450817 173086648 216358310 302901634 432716620 605803268 757254085 865433240 1211606536 1514508170 3029016340 6058032680