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668750112 = 253218112829
BaseRepresentation
bin100111110111000…
…101000100100000
31201121101000200200
4213313011010200
52332200000422
6150205345200
722400165532
oct4767050440
91647330620
10668750112
11313545948
12167b68200
13a871a534
1464b61852
153da9d2ac
hex27dc5120

668750112 has 72 divisors (see below), whose sum is σ = 1912414140. Its totient is φ = 221667840.

The previous prime is 668750101. The next prime is 668750113. The reversal of 668750112 is 211057866.

668750112 is a `hidden beast` number, since 66 + 87 + 501 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 645363216 + 23386896 = 25404^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (668750113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45714 + ... + 58542.

Almost surely, 2668750112 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 668750112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956207070).

668750112 is an abundant number, since it is smaller than the sum of its proper divisors (1243664028).

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

668750112 is a wasteful number, since it uses less digits than its factorization.

668750112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 668750112 is about 25860.2032474611. The cubic root of 668750112 is about 874.4895469527.

The spelling of 668750112 in words is "six hundred sixty-eight million, seven hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 12829 13032 17376 25658 26064 38487 51316 52128 76974 102632 115461 153948 205264 230922 307896 410528 461844 615792 923688 1231584 1847376 2322049 3694752 4644098 6966147 9288196 13932294 18576392 20898441 27864588 37152784 41796882 55729176 74305568 83593764 111458352 167187528 222916704 334375056 668750112