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68524960 = 2557175961
BaseRepresentation
bin1000001010110…
…01101110100000
311202221102120111
410011121232200
5120020244320
610444421104
71461311140
oct405315640
9152842514
1068524960
11357538a9
121ab47794
131127331a
14915a920
156038a5a
hex4159ba0

68524960 has 192 divisors, whose sum is σ = 202487040. Its totient is φ = 21381120.

The previous prime is 68524957. The next prime is 68524961. The reversal of 68524960 is 6942586.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (68524961) 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 31 ways as a sum of consecutive naturals, for example, 1123330 + ... + 1123390.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 268524960 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 68524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

68524960 is an abundant number, since it is smaller than the sum of its proper divisors (133962080).

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

68524960 is a wasteful number, since it uses less digits than its factorization.

68524960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 68524960 is about 8277.9804300324. The cubic root of 68524960 is about 409.2131647475.

The spelling of 68524960 in words is "sixty-eight million, five hundred twenty-four thousand, nine hundred sixty".