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68132064 = 25371113709
BaseRepresentation
bin1000000111110…
…01110011100000
311202012110121210
410003321303200
5114420211224
610432150120
71455053520
oct403716340
9152173553
1068132064
11355056a0
121a998340
1311166540
149097680
155eac429
hex40f9ce0

68132064 has 192 divisors, whose sum is σ = 240468480. Its totient is φ = 16312320.

The previous prime is 68132063. The next prime is 68132087. The reversal of 68132064 is 46023186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68132063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95742 + ... + 96450.

It is an arithmetic number, because the mean of its divisors is an integer number (1252440).

Almost surely, 268132064 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 68132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120234240).

68132064 is an abundant number, since it is smaller than the sum of its proper divisors (172336416).

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

68132064 is a wasteful number, since it uses less digits than its factorization.

68132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68132064 is about 8254.2149232983. The cubic root of 68132064 is about 408.4295744642.

The spelling of 68132064 in words is "sixty-eight million, one hundred thirty-two thousand, sixty-four".