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868827000 = 23353714079
BaseRepresentation
bin110011110010010…
…011111101111000
32020112211222120210
4303302103331320
53234404431000
6222113551120
730346623216
oct6362237570
92215758523
10868827000
11406480648
12202b754a0
1310b000822
1483563cb6
1551420350
hex33c93f78

868827000 has 128 divisors (see below), whose sum is σ = 2749593600. Its totient is φ = 228368000.

The previous prime is 868826983. The next prime is 868827013. The reversal of 868827000 is 728868.

It is a self number, because there is not a number n which added to its sum of digits gives 868827000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210961 + ... + 215039.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2868827000 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 868827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

868827000 is an abundant number, since it is smaller than the sum of its proper divisors (1880766600).

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

868827000 is a wasteful number, since it uses less digits than its factorization.

868827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 868827000 is about 29475.8714883886. The cubic root of 868827000 is about 954.2110384922.

The spelling of 868827000 in words is "eight hundred sixty-eight million, eight hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4079 4260 5325 7100 8158 8520 8875 10650 12237 14200 16316 17750 20395 21300 24474 26625 32632 35500 40790 42600 48948 53250 61185 71000 81580 97896 101975 106500 122370 163160 203950 213000 244740 289609 305925 407900 489480 509875 579218 611850 815800 868827 1019750 1158436 1223700 1448045 1529625 1737654 2039500 2316872 2447400 2896090 3059250 3475308 4079000 4344135 5792180 6118500 6950616 7240225 8688270 11584360 12237000 14480450 17376540 21720675 28960900 34753080 36201125 43441350 57921800 72402250 86882700 108603375 144804500 173765400 217206750 289609000 434413500 868827000