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68597568 = 2632139161
BaseRepresentation
bin1000001011010…
…11011101000000
311210002010011200
410011223131000
5120030110233
610450141200
71462032624
oct405533500
9153063150
1068597568
11357a3406
121ab81800
131129a3a0
149179184
156050313
hex416b740

68597568 has 84 divisors (see below), whose sum is σ = 211770468. Its totient is φ = 21104640.

The previous prime is 68597561. The next prime is 68597579. The reversal of 68597568 is 86579586.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 52533504 = 4008^2 + 7248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68597561) 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 11 ways as a sum of consecutive naturals, for example, 2908 + ... + 12068.

It is an arithmetic number, because the mean of its divisors is an integer number (2521077).

Almost surely, 268597568 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 68597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105885234).

68597568 is an abundant number, since it is smaller than the sum of its proper divisors (143172900).

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

68597568 is a wasteful number, since it uses less digits than its factorization.

68597568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9179 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 68597568 is about 8282.3648796705. The cubic root of 68597568 is about 409.3576457340.

The spelling of 68597568 in words is "sixty-eight million, five hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 9161 18322 27483 36644 54966 73288 82449 109932 119093 146576 164898 219864 238186 293152 329796 357279 439728 476372 586304 659592 714558 879456 952744 1071837 1319184 1429116 1758912 1905488 2143674 2638368 2858232 3810976 4287348 5276736 5716464 7621952 8574696 11432928 17149392 22865856 34298784 68597568