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68596080 = 24357219307
BaseRepresentation
bin1000001011010…
…11000101110000
311210002001010120
410011223011300
5120030033310
610450130240
71462025400
oct405530560
9153061116
1068596080
11357a2283
121ab80980
13112997c7
149178800
15604eb70
hex416b170

68596080 has 240 divisors, whose sum is σ = 261233280. Its totient is φ = 14805504.

The previous prime is 68596067. The next prime is 68596081. The reversal of 68596080 is 8069586.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68596081) 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 47 ways as a sum of consecutive naturals, for example, 223287 + ... + 223593.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 268596080 is an apocalyptic number.

68596080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68596080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

68596080 is an abundant number, since it is smaller than the sum of its proper divisors (192637200).

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

68596080 is a wasteful number, since it uses less digits than its factorization.

68596080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 68596080 is about 8282.2750497674. The cubic root of 68596080 is about 409.3546858206.

The spelling of 68596080 in words is "sixty-eight million, five hundred ninety-six thousand, eighty".