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68909568 = 2937131729
BaseRepresentation
bin1000001101101…
…11101000000000
311210122222011020
410012313220000
5120120101233
610500545440
71464502350
oct406675000
9153588136
1068909568
1135996862
121b0b2280
13113793c0
14921ab60
1560b29b3
hex41b7a00

68909568 has 320 divisors, whose sum is σ = 247484160. Its totient is φ = 16515072.

The previous prime is 68909563. The next prime is 68909569. The reversal of 68909568 is 86590986.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 68909568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68909563) 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, 2376178 + ... + 2376206.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 268909568 is an apocalyptic number.

68909568 is a gapful number since it is divisible by the number (68) 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 68909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

68909568 is an abundant number, since it is smaller than the sum of its proper divisors (178574592).

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

68909568 is a wasteful number, since it uses less digits than its factorization.

68909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 68909568 is about 8301.1787114843. The cubic root of 68909568 is about 409.9773297003.

The spelling of 68909568 in words is "sixty-eight million, nine hundred nine thousand, five hundred sixty-eight".