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23893168 = 2413313367
BaseRepresentation
bin101101100100…
…1010010110000
31122221220021011
41123021102300
522104040133
62212040304
7410042245
oct133112260
948856234
1023893168
111253a322
128003094
134c47490
14325d5cc
15216e6cd
hex16c94b0

23893168 has 40 divisors (see below), whose sum is σ = 50149568. Its totient is φ = 10962432.

The previous prime is 23893153. The next prime is 23893217. The reversal of 23893168 is 86139832.

It is a self number, because there is not a number n which added to its sum of digits gives 23893168.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 64921 + ... + 65287.

It is a vampire number, since it can be written as 29368138 (with its own digits).

Almost surely, 223893168 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 23893168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25074784).

23893168 is an abundant number, since it is smaller than the sum of its proper divisors (26256400).

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

23893168 is a wasteful number, since it uses less digits than its factorization.

23893168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 23893168 is about 4888.0638293705. The cubic root of 23893168 is about 288.0212818635.

The spelling of 23893168 in words is "twenty-three million, eight hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 313 367 626 734 1252 1468 2504 2936 4069 4771 5008 5872 8138 9542 16276 19084 32552 38168 65104 76336 114871 229742 459484 918968 1493323 1837936 2986646 5973292 11946584 23893168