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68078208 = 2731171227
BaseRepresentation
bin1000000111011…
…00101010000000
311202002201202010
410003230222000
5114412000313
610431052520
71454440512
oct403545200
9152081663
1068078208
1135479190
121a971140
1311147b83
149081bb2
155e9b4c3
hex40eca80

68078208 has 128 divisors (see below), whose sum is σ = 200931840. Its totient is φ = 20249600.

The previous prime is 68078203. The next prime is 68078209. The reversal of 68078208 is 80287086.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (68078203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299791 + ... + 300017.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 268078208 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 68078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

68078208 is an abundant number, since it is smaller than the sum of its proper divisors (132853632).

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

68078208 is a wasteful number, since it uses less digits than its factorization.

68078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

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

The square root of 68078208 is about 8250.9519450788. The cubic root of 68078208 is about 408.3219296922.

It can be divided in two parts, 68078 and 208, that added together give a palindrome (68286).

The spelling of 68078208 in words is "sixty-eight million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 227 264 284 352 384 426 454 528 568 681 704 781 852 908 1056 1136 1362 1408 1562 1704 1816 2112 2272 2343 2497 2724 3124 3408 3632 4224 4544 4686 4994 5448 6248 6816 7264 7491 9088 9372 9988 10896 12496 13632 14528 14982 16117 18744 19976 21792 24992 27264 29056 29964 32234 37488 39952 43584 48351 49984 59928 64468 74976 79904 87168 96702 99968 119856 128936 149952 159808 177287 193404 239712 257872 299904 319616 354574 386808 479424 515744 531861 709148 773616 958848 1031488 1063722 1418296 1547232 2062976 2127444 2836592 3094464 4254888 5673184 6188928 8509776 11346368 17019552 22692736 34039104 68078208