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23840512 = 28234049
BaseRepresentation
bin101101011110…
…0011100000000
31122212020000221
41122330130000
522100344022
62210552424
7406432603
oct132743400
948766027
1023840512
1112503803
127b98714
134c29517
14324833a
15215dcc7
hex16bc700

23840512 has 36 divisors (see below), whose sum is σ = 49669200. Its totient is φ = 11399168.

The previous prime is 23840507. The next prime is 23840521. The reversal of 23840512 is 21504832.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3864 + ... + 7912.

It is an arithmetic number, because the mean of its divisors is an integer number (1379700).

Almost surely, 223840512 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 23840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834600).

23840512 is an abundant number, since it is smaller than the sum of its proper divisors (25828688).

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

23840512 is an equidigital number, since it uses as much as digits as its factorization.

23840512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 23840512 is about 4882.6746768549. The cubic root of 23840512 is about 287.8095448612.

The spelling of 23840512 in words is "twenty-three million, eight hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 4049 5888 8098 16196 32392 64784 93127 129568 186254 259136 372508 518272 745016 1036544 1490032 2980064 5960128 11920256 23840512