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18068688 = 24321121761
BaseRepresentation
bin100010011101…
…1010011010000
31020222222120200
41010323103100
514111144223
61443135200
7306403251
oct104732320
936888520
1018068688
11a221300
126074500
133988341
142584b28
1518bda43
hex113b4d0

18068688 has 180 divisors, whose sum is σ = 59816484. Its totient is φ = 5068800.

The previous prime is 18068681. The next prime is 18068693. The reversal of 18068688 is 88686081.

18068688 = 272 + 282 + ... + 3782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 11778624 = 2508^2 + 3432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18068681) 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 35 ways as a sum of consecutive naturals, for example, 296178 + ... + 296238.

Almost surely, 218068688 is an apocalyptic number.

18068688 is a gapful number since it is divisible by the number (18) 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 18068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29908242).

18068688 is an abundant number, since it is smaller than the sum of its proper divisors (41747796).

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

18068688 is a wasteful number, since it uses less digits than its factorization.

18068688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 18068688 is about 4250.7279376596. The cubic root of 18068688 is about 262.4070745911.

The spelling of 18068688 in words is "eighteen million, sixty-eight thousand, six hundred eighty-eight".