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23910768 = 243377907
BaseRepresentation
bin101101100110…
…1100101110000
31122222210102000
41123031211300
522110121033
62212254000
7410144460
oct133154560
948883360
1023910768
1112551572
128011300
134c524ab
143265ba0
152174a13
hex16cd970

23910768 has 80 divisors (see below), whose sum is σ = 78447360. Its totient is φ = 6830784.

The previous prime is 23910767. The next prime is 23910773. The reversal of 23910768 is 86701932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23910763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (980592).

Almost surely, 223910768 is an apocalyptic number.

23910768 is a gapful number since it is divisible by the number (28) 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 23910768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39223680).

23910768 is an abundant number, since it is smaller than the sum of its proper divisors (54536592).

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

23910768 is a wasteful number, since it uses less digits than its factorization.

23910768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 23910768 is about 4889.8638017843. The cubic root of 23910768 is about 288.0919845068.

The spelling of 23910768 in words is "twenty-three million, nine hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7907 15814 23721 31628 47442 55349 63256 71163 94884 110698 126512 142326 166047 189768 213489 221396 284652 332094 379536 426978 442792 498141 569304 664188 853956 885584 996282 1138608 1328376 1494423 1707912 1992564 2656752 2988846 3415824 3985128 5977692 7970256 11955384 23910768