Search a number
-
+
6020528416 = 257732831301
BaseRepresentation
bin1011001101101100…
…11111100100100000
3120112120200112100221
411212312133210200
544312223402131
62433224452424
7302123434660
oct54666374440
916476615327
106020528416
11260a482121
12120031a114
1374c405866
144118341a0
15253840411
hex166d9f920

6020528416 has 96 divisors (see below), whose sum is σ = 13790867328. Its totient is φ = 2533939200.

The previous prime is 6020528413. The next prime is 6020528417. The reversal of 6020528416 is 6148250206.

It is not an unprimeable number, because it can be changed into a prime (6020528413) 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 15 ways as a sum of consecutive naturals, for example, 4626966 + ... + 4628266.

It is an arithmetic number, because the mean of its divisors is an integer number (143654868).

Almost surely, 26020528416 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 6020528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895433664).

6020528416 is an abundant number, since it is smaller than the sum of its proper divisors (7770338912).

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

6020528416 is a wasteful number, since it uses less digits than its factorization.

6020528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 6020528416 is about 77592.0641302962. The cubic root of 6020528416 is about 1819.1906009276.

The spelling of 6020528416 in words is "six billion, twenty million, five hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 283 292 511 566 584 1022 1132 1168 1301 1981 2044 2264 2336 2602 3962 4088 4528 5204 7924 8176 9056 9107 10408 15848 16352 18214 20659 20816 31696 36428 41318 41632 63392 72856 82636 94973 144613 145712 165272 189946 289226 291424 330544 368183 379892 578452 661088 664811 736366 759784 1156904 1329622 1472732 1519568 2313808 2577281 2659244 2945464 3039136 4627616 5154562 5318488 5890928 10309124 10636976 11781856 20618248 21273952 26877359 41236496 53754718 82472992 107509436 188141513 215018872 376283026 430037744 752566052 860075488 1505132104 3010264208 6020528416