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23129808 = 24313101367
BaseRepresentation
bin101100000111…
…0111011010000
31121112010010120
41120032323100
521410123213
62143430240
7400412562
oct130167320
947463116
1023129808
1112068849
1278b5380
134a3aba0
143101332
15206d423
hex160eed0

23129808 has 80 divisors (see below), whose sum is σ = 65162496. Its totient is φ = 7027200.

The previous prime is 23129803. The next prime is 23129819. The reversal of 23129808 is 80892132.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23129803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62841 + ... + 63207.

Almost surely, 223129808 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 23129808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32581248).

23129808 is an abundant number, since it is smaller than the sum of its proper divisors (42032688).

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

23129808 is a wasteful number, since it uses less digits than its factorization.

23129808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 23129808 is about 4809.3459014714. The cubic root of 23129808 is about 284.9207043169.

The spelling of 23129808 in words is "twenty-three million, one hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 367 404 606 624 734 808 1101 1212 1313 1468 1616 2202 2424 2626 2936 3939 4404 4771 4848 5252 5872 7878 8808 9542 10504 14313 15756 17616 19084 21008 28626 31512 37067 38168 57252 63024 74134 76336 111201 114504 148268 222402 229008 296536 444804 481871 593072 889608 963742 1445613 1779216 1927484 2891226 3854968 5782452 7709936 11564904 23129808