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68397056 = 211713367
BaseRepresentation
bin1000001001110…
…10100000000000
311202200221010022
410010322200000
5120002201211
610441553012
71460236220
oct404724000
9152627108
1068397056
11356767a2
121aaa5768
131122a040
149126080
156010bdb
hex413a800

68397056 has 96 divisors (see below), whose sum is σ = 168779520. Its totient is φ = 26984448.

The previous prime is 68397031. The next prime is 68397059. The reversal of 68397056 is 65079386.

It is a junction number, because it is equal to n+sod(n) for n = 68396998 and 68397016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68397059) 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 7 ways as a sum of consecutive naturals, for example, 186185 + ... + 186551.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 268397056 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 68397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84389760).

68397056 is an abundant number, since it is smaller than the sum of its proper divisors (100382464).

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

68397056 is a wasteful number, since it uses less digits than its factorization.

68397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 68397056 is about 8270.2512658323. The cubic root of 68397056 is about 408.9584030802.

The spelling of 68397056 in words is "sixty-eight million, three hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 367 416 448 512 728 734 832 896 1024 1456 1468 1664 1792 2048 2569 2912 2936 3328 3584 4771 5138 5824 5872 6656 7168 9542 10276 11648 11744 13312 14336 19084 20552 23296 23488 26624 33397 38168 41104 46592 46976 66794 76336 82208 93184 93952 133588 152672 164416 186368 187904 267176 305344 328832 375808 534352 610688 657664 751616 1068704 1221376 1315328 2137408 2442752 2630656 4274816 4885504 5261312 8549632 9771008 17099264 34198528 68397056