Search a number
-
+
23568864 = 2531122029
BaseRepresentation
bin101100111101…
…0000111100000
31122100102101220
41121322013200
522013200424
62201055040
7404221614
oct131720740
948312356
1023568864
1112338700
127a87480
134b62997
1431b7344
152108579
hex167a1e0

23568864 has 72 divisors (see below), whose sum is σ = 68037480. Its totient is φ = 7138560.

The previous prime is 23568863. The next prime is 23568871. The reversal of 23568864 is 46886532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23568863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10602 + ... + 12630.

It is an arithmetic number, because the mean of its divisors is an integer number (944965).

Almost surely, 223568864 is an apocalyptic number.

23568864 is a gapful number since it is divisible by the number (24) 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 23568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34018740).

23568864 is an abundant number, since it is smaller than the sum of its proper divisors (44468616).

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

23568864 is a wasteful number, since it uses less digits than its factorization.

23568864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2045 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 23568864 is about 4854.7774408308. Note that the first 3 decimals coincide. The cubic root of 23568864 is about 286.7122288016.

The spelling of 23568864 in words is "twenty-three million, five hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2029 2904 3872 4058 5808 6087 8116 11616 12174 16232 22319 24348 32464 44638 48696 64928 66957 89276 97392 133914 178552 194784 245509 267828 357104 491018 535656 714208 736527 982036 1071312 1473054 1964072 2142624 2946108 3928144 5892216 7856288 11784432 23568864