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68645568 = 263477607
BaseRepresentation
bin1000001011101…
…11001011000000
311210011120000110
410011313023000
5120033124233
610451151320
71462322565
oct405671300
9153146013
1068645568
1135826482
121aba5540
13112b61a4
14918c86c
15605e663
hex41772c0

68645568 has 56 divisors (see below), whose sum is σ = 185513472. Its totient is φ = 22392064.

The previous prime is 68645561. The next prime is 68645597. The reversal of 68645568 is 86554686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68645561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5221 + ... + 12827.

Almost surely, 268645568 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 68645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92756736).

68645568 is an abundant number, since it is smaller than the sum of its proper divisors (116867904).

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

68645568 is a wasteful number, since it uses less digits than its factorization.

68645568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7659 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 68645568 is about 8285.2620960353. The cubic root of 68645568 is about 409.4531038593.

The spelling of 68645568 in words is "sixty-eight million, six hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 7607 9024 15214 22821 30428 45642 60856 91284 121712 182568 243424 357529 365136 486848 715058 730272 1072587 1430116 1460544 2145174 2860232 4290348 5720464 8580696 11440928 17161392 22881856 34322784 68645568