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868831620 = 2235196611153
BaseRepresentation
bin110011110010010…
…101000110000100
32020112212012220220
4303302111012010
53234410102440
6222114024340
730346642536
oct6362250604
92215765826
10868831620
11406484068
12202b780b0
1310b002967
1483565856
15514218d0
hex33c95184

868831620 has 96 divisors (see below), whose sum is σ = 2566865280. Its totient is φ = 218972160.

The previous prime is 868831591. The next prime is 868831627. The reversal of 868831620 is 26138868.

It is not an unprimeable number, because it can be changed into a prime (868831627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752964 + ... + 754116.

It is an arithmetic number, because the mean of its divisors is an integer number (26738180).

Almost surely, 2868831620 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 868831620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283432640).

868831620 is an abundant number, since it is smaller than the sum of its proper divisors (1698033660).

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

868831620 is a wasteful number, since it uses less digits than its factorization.

868831620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 868831620 is about 29475.9498574685. The cubic root of 868831620 is about 954.2127298328.

The spelling of 868831620 in words is "eight hundred sixty-eight million, eight hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 661 1140 1153 1322 1983 2306 2644 3305 3459 3966 4612 5765 6610 6918 7932 9915 11530 12559 13220 13836 17295 19830 21907 23060 25118 34590 37677 39660 43814 50236 62795 65721 69180 75354 87628 109535 125590 131442 150708 188385 219070 251180 262884 328605 376770 438140 657210 753540 762133 1314420 1524266 2286399 3048532 3810665 4572798 7621330 9145596 11431995 14480527 15242660 22863990 28961054 43441581 45727980 57922108 72402635 86883162 144805270 173766324 217207905 289610540 434415810 868831620