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23681376 = 253327409
BaseRepresentation
bin101101001010…
…1100101100000
31122120010202000
41122111211200
522030301001
62203324000
7405200625
oct132254540
948503660
1023681376
1112405194
127b20600
134ba1c64
14320634c
15212ba86
hex1695960

23681376 has 48 divisors (see below), whose sum is σ = 69073200. Its totient is φ = 7893504.

The previous prime is 23681363. The next prime is 23681377. The reversal of 23681376 is 67318632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23681376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12841 + ... + 14568.

It is an arithmetic number, because the mean of its divisors is an integer number (1439025).

Almost surely, 223681376 is an apocalyptic number.

It is an amenable number.

23681376 is an abundant number, since it is smaller than the sum of its proper divisors (45391824).

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

23681376 is a wasteful number, since it uses less digits than its factorization.

23681376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27428 (or 27414 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 23681376 is about 4866.3514053138. The cubic root of 23681376 is about 287.1677361252.

The spelling of 23681376 in words is "twenty-three million, six hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 27409 54818 82227 109636 164454 219272 246681 328908 438544 493362 657816 740043 877088 986724 1315632 1480086 1973448 2631264 2960172 3946896 5920344 7893792 11840688 23681376