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68210880 = 2635411733
BaseRepresentation
bin1000001000011…
…01000011000000
311202100110201220
410010031003000
5114430222010
610433555040
71455532353
oct404150300
9152313656
1068210880
1135559931
121aa15a80
131119338a
1490b829a
155ec5970
hex410d0c0

68210880 has 112 divisors (see below), whose sum is σ = 221979744. Its totient is φ = 17735680.

The previous prime is 68210843. The next prime is 68210887. The reversal of 68210880 is 8801286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68210887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38494 + ... + 40226.

It is an arithmetic number, because the mean of its divisors is an integer number (1981962).

Almost surely, 268210880 is an apocalyptic number.

68210880 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 68210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110989872).

68210880 is an abundant number, since it is smaller than the sum of its proper divisors (153768864).

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

68210880 is a wasteful number, since it uses less digits than its factorization.

68210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 68210880 is about 8258.9878314476. The cubic root of 68210880 is about 408.5870058728.

The spelling of 68210880 in words is "sixty-eight million, two hundred ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1733 1968 2460 2624 3280 3466 3936 4920 5199 6560 6932 7872 8665 9840 10398 13120 13864 17330 19680 20796 25995 27728 34660 39360 41592 51990 55456 69320 71053 83184 103980 110912 138640 142106 166368 207960 213159 277280 284212 332736 355265 415920 426318 554560 568424 710530 831840 852636 1065795 1136848 1421060 1663680 1705272 2131590 2273696 2842120 3410544 4263180 4547392 5684240 6821088 8526360 11368480 13642176 17052720 22736960 34105440 68210880