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107281568 = 2523712053
BaseRepresentation
bin1100110010011…
…11110010100000
321110212110122102
412121033302200
5204431002233
614351225532
72441610152
oct631176240
9243773572
10107281568
1155615259
122bb182a8
13192c2c24
1410368ad2
1596421e8
hex664fca0

107281568 has 48 divisors (see below), whose sum is σ = 223606656. Its totient is φ = 50561280.

The previous prime is 107281561. The next prime is 107281571. The reversal of 107281568 is 865182701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107281561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51230 + ... + 53282.

It is an arithmetic number, because the mean of its divisors is an integer number (4658472).

Almost surely, 2107281568 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 107281568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111803328).

107281568 is an abundant number, since it is smaller than the sum of its proper divisors (116325088).

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

107281568 is a wasteful number, since it uses less digits than its factorization.

107281568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 107281568 is about 10357.6815938703. The cubic root of 107281568 is about 475.1620027284.

The spelling of 107281568 in words is "one hundred seven million, two hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1136 1633 2053 2272 3266 4106 6532 8212 13064 16424 26128 32848 47219 52256 65696 94438 145763 188876 291526 377752 583052 755504 1166104 1511008 2332208 3352549 4664416 6705098 13410196 26820392 53640784 107281568