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568268680 = 235746197
BaseRepresentation
bin100001110111110…
…001011110001000
31110121022001002011
4201313301132020
52130434044210
6132215545304
720040130000
oct4167613610
91417261064
10568268680
11271855741
1213a38b234
1390968875
1455687000
1534d50d8a
hex21df1788

568268680 has 160 divisors (see below), whose sum is σ = 1531698840. Its totient is φ = 189665280.

The previous prime is 568268677. The next prime is 568268683. The reversal of 568268680 is 86862865.

It is a happy number.

568268680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (568268677) and next prime (568268683).

It can be written as a sum of positive squares in 4 ways, for example, as 280830564 + 287438116 = 16758^2 + 16954^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (568268683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5858392 + ... + 5858488.

Almost surely, 2568268680 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 568268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765849420).

568268680 is an abundant number, since it is smaller than the sum of its proper divisors (963430160).

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

568268680 is an equidigital number, since it uses as much as digits as its factorization.

568268680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 568268680 is about 23838.3866903782. The cubic root of 568268680 is about 828.2941108629.

The spelling of 568268680 in words is "five hundred sixty-eight million, two hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 61 70 97 98 122 140 194 196 244 245 280 305 343 388 392 427 485 488 490 610 679 686 776 854 970 980 1220 1358 1372 1708 1715 1940 1960 2135 2401 2440 2716 2744 2989 3395 3416 3430 3880 4270 4753 4802 5432 5917 5978 6790 6860 8540 9506 9604 11834 11956 12005 13580 13720 14945 17080 19012 19208 20923 23668 23765 23912 24010 27160 29585 29890 33271 38024 41419 41846 47336 47530 48020 59170 59780 66542 82838 83692 95060 96040 104615 118340 119560 133084 146461 165676 166355 167384 190120 207095 209230 232897 236680 266168 289933 292922 331352 332710 414190 418460 465794 579866 585844 665420 732305 828380 836920 931588 1159732 1164485 1171688 1330840 1449665 1464610 1656760 1863176 2029531 2319464 2328970 2899330 2929220 4059062 4657940 5798660 5858440 8118124 9315880 10147655 11597320 14206717 16236248 20295310 28413434 40590620 56826868 71033585 81181240 113653736 142067170 284134340 568268680