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68009984 = 2147593
BaseRepresentation
bin1000000110111…
…00000000000000
311201222021011022
410003130000000
5114402304414
610425405012
71454034560
oct403340000
9151867138
1068009984
11354319a9
121a939768
1311122ac3
149064da0
155e8618e
hex40dc000

68009984 has 60 divisors (see below), whose sum is σ = 155708784. Its totient is φ = 29097984.

The previous prime is 68009983. The next prime is 68009993. The reversal of 68009984 is 48990086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68009983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114392 + ... + 114984.

Almost surely, 268009984 is an apocalyptic number.

68009984 is a gapful number since it is divisible by the number (64) 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 68009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77854392).

68009984 is an abundant number, since it is smaller than the sum of its proper divisors (87698800).

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

68009984 is an frugal number, since it uses more digits than its factorization.

68009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 68009984 is about 8246.8165979364. The cubic root of 68009984 is about 408.1854853144.

The spelling of 68009984 in words is "sixty-eight million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 593 896 1024 1186 1792 2048 2372 3584 4096 4151 4744 7168 8192 8302 9488 14336 16384 16604 18976 28672 33208 37952 57344 66416 75904 114688 132832 151808 265664 303616 531328 607232 1062656 1214464 2125312 2428928 4250624 4857856 8501248 9715712 17002496 34004992 68009984