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868022880 = 25355993019
BaseRepresentation
bin110011101111001…
…111101001100000
32020111100010112120
4303233033221200
53234203213010
6222044424240
730340033644
oct6357175140
92214303476
10868022880
11405a8148a
12202848080
1310aaab80a
14833d4c24
1551311e70
hex33bcfa60

868022880 has 96 divisors (see below), whose sum is σ = 2739744000. Its totient is φ = 231009792.

The previous prime is 868022843. The next prime is 868022933. The reversal of 868022880 is 88220868.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 286011 + ... + 289029.

It is an arithmetic number, because the mean of its divisors is an integer number (28539000).

Almost surely, 2868022880 is an apocalyptic number.

868022880 is a gapful number since it is divisible by the number (80) 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 868022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369872000).

868022880 is an abundant number, since it is smaller than the sum of its proper divisors (1871721120).

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

868022880 is a wasteful number, since it uses less digits than its factorization.

868022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 868022880 is about 29462.2280216551. The cubic root of 868022880 is about 953.9165659753.

The spelling of 868022880 in words is "eight hundred sixty-eight million, twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 599 1198 1797 2396 2995 3019 3594 4792 5990 6038 7188 8985 9057 9584 11980 12076 14376 15095 17970 18114 19168 23960 24152 28752 30190 35940 36228 45285 47920 48304 57504 60380 71880 72456 90570 95840 96608 120760 143760 144912 181140 241520 287520 289824 362280 483040 724560 1449120 1808381 3616762 5425143 7233524 9041905 10850286 14467048 18083810 21700572 27125715 28934096 36167620 43401144 54251430 57868192 72335240 86802288 108502860 144670480 173604576 217005720 289340960 434011440 868022880