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17930668 = 22741867
BaseRepresentation
bin100010001100…
…1100110101100
31020201222020211
41010121212230
514042240133
61440152204
7305260000
oct104314654
936658224
1017930668
11a137638
126008664
13393a582
14254a700
151892bcd
hex11199ac

17930668 has 30 divisors (see below), whose sum is σ = 36625876. Its totient is φ = 7680456.

The previous prime is 17930663. The next prime is 17930669. The reversal of 17930668 is 86603971.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 17930668.

It is not an unprimeable number, because it can be changed into a prime (17930663) 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 9 ways as a sum of consecutive naturals, for example, 8671 + ... + 10537.

Almost surely, 217930668 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 17930668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312938).

17930668 is an abundant number, since it is smaller than the sum of its proper divisors (18695208).

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

17930668 is an equidigital number, since it uses as much as digits as its factorization.

17930668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 17930668 is about 4234.4619492918. The cubic root of 17930668 is about 261.7372226917.

The spelling of 17930668 in words is "seventeen million, nine hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1867 2401 3734 4802 7468 9604 13069 26138 52276 91483 182966 365932 640381 1280762 2561524 4482667 8965334 17930668