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18945168 = 2431153677
BaseRepresentation
bin100100001000…
…1010010010000
31022122111212220
41020101102100
514322221133
61514021040
7320013504
oct110212220
938574786
1018945168
11a76a870
126417780
133c04278
142732304
1519e35b3
hex1211490

18945168 has 80 divisors (see below), whose sum is σ = 54478656. Its totient is φ = 5624320.

The previous prime is 18945161. The next prime is 18945217. The reversal of 18945168 is 86154981.

It is not an unprimeable number, because it can be changed into a prime (18945161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27646 + ... + 28322.

Almost surely, 218945168 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 18945168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27239328).

18945168 is an abundant number, since it is smaller than the sum of its proper divisors (35533488).

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

18945168 is a wasteful number, since it uses less digits than its factorization.

18945168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 18945168 is about 4352.6047373958. The cubic root of 18945168 is about 266.5832266721.

The spelling of 18945168 in words is "eighteen million, nine hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 677 848 1166 1272 1354 1749 2031 2332 2544 2708 3498 4062 4664 5416 6996 7447 8124 9328 10832 13992 14894 16248 22341 27984 29788 32496 35881 44682 59576 71762 89364 107643 119152 143524 178728 215286 287048 357456 394691 430572 574096 789382 861144 1184073 1578764 1722288 2368146 3157528 4736292 6315056 9472584 18945168