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68107136 = 274711321
BaseRepresentation
bin1000000111100…
…11101110000000
311202011012102112
410003303232000
5114413412021
610431434452
71454621036
oct403635600
9152135375
1068107136
1135498999
121a985a28
13111580a6
14908c556
155ea4d5b
hex40f3b80

68107136 has 32 divisors (see below), whose sum is σ = 138581280. Its totient is φ = 33326080.

The previous prime is 68107129. The next prime is 68107139. The reversal of 68107136 is 63170186.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68107139) 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 3 ways as a sum of consecutive naturals, for example, 356 + ... + 11676.

It is an arithmetic number, because the mean of its divisors is an integer number (4330665).

Almost surely, 268107136 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 68107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69290640).

68107136 is an abundant number, since it is smaller than the sum of its proper divisors (70474144).

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

68107136 is a wasteful number, since it uses less digits than its factorization.

68107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 68107136 is about 8252.7047687410. The cubic root of 68107136 is about 408.3797566360.

The spelling of 68107136 in words is "sixty-eight million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 11321 22642 45284 90568 181136 362272 532087 724544 1064174 1449088 2128348 4256696 8513392 17026784 34053568 68107136