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23683712 = 271343331
BaseRepresentation
bin101101001011…
…0001010000000
31122120020221112
41122112022000
522030334322
62203342452
7405210503
oct132261200
948506845
1023683712
1112406a18
127b21a28
134ba3040
14320713a
15212c5e2
hex1696280

23683712 has 64 divisors (see below), whose sum is σ = 52150560. Its totient is φ = 10644480.

The previous prime is 23683711. The next prime is 23683727. The reversal of 23683712 is 21738632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (23683711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71387 + ... + 71717.

Almost surely, 223683712 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 23683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26075280).

23683712 is an abundant number, since it is smaller than the sum of its proper divisors (28466848).

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

23683712 is a wasteful number, since it uses less digits than its factorization.

23683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 23683712 is about 4866.5914149433. The cubic root of 23683712 is about 287.1771781691.

The spelling of 23683712 in words is "twenty-three million, six hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 331 344 416 559 662 688 832 1118 1324 1376 1664 2236 2648 2752 4303 4472 5296 5504 8606 8944 10592 14233 17212 17888 21184 28466 34424 35776 42368 56932 68848 71552 113864 137696 185029 227728 275392 370058 455456 550784 740116 910912 1480232 1821824 2960464 5920928 11841856 23683712