Search a number
-
+
6602116260 = 22351729322091
BaseRepresentation
bin1100010011000010…
…00100110010100100
3122001010001020220110
412021201010302210
5102010120210020
63011042133020
7322415030235
oct61141046244
918033036813
106602116260
1128887a4733
121343051170
13812a5598c
14468b8708c
152899228e0
hex189844ca4

6602116260 has 96 divisors (see below), whose sum is σ = 19641025152. Its totient is φ = 1651271680.

The previous prime is 6602116229. The next prime is 6602116267. The reversal of 6602116260 is 626112066.

It is a super-2 number, since 2×66021162602 = 87175878221112775200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6602116267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287815 + ... + 309905.

It is an arithmetic number, because the mean of its divisors is an integer number (204594012).

Almost surely, 26602116260 is an apocalyptic number.

6602116260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6602116260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820512576).

6602116260 is an abundant number, since it is smaller than the sum of its proper divisors (13038908892).

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

6602116260 is a wasteful number, since it uses less digits than its factorization.

6602116260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22413 (or 22411 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6602116260 is about 81253.4076823859. The cubic root of 6602116260 is about 1875.9779204473.

The spelling of 6602116260 in words is "six billion, six hundred two million, one hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 293 340 510 586 879 1020 1172 1465 1758 2930 3516 4395 4981 5860 8790 9962 14943 17580 19924 22091 24905 29886 44182 49810 59772 66273 74715 88364 99620 110455 132546 149430 220910 265092 298860 331365 375547 441820 662730 751094 1126641 1325460 1502188 1877735 2253282 3755470 4506564 5633205 6472663 7510940 11266410 12945326 19417989 22532820 25890652 32363315 38835978 64726630 77671956 97089945 110035271 129453260 194179890 220070542 330105813 388359780 440141084 550176355 660211626 1100352710 1320423252 1650529065 2200705420 3301058130 6602116260