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23663104 = 29113409
BaseRepresentation
bin101101001000…
…1001000000000
31122112012200021
41122101020000
522024204404
62203103224
7405063433
oct132211000
948465607
1023663104
11123a2493
127b11b14
134b9684a
1431dd81a
152126454
hex1691200

23663104 has 40 divisors (see below), whose sum is σ = 47815020. Its totient is φ = 11698176.

The previous prime is 23663089. The next prime is 23663111. The reversal of 23663104 is 40136632.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 160000 = 4848^2 + 400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57652 + ... + 58060.

Almost surely, 223663104 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 23663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907510).

23663104 is an abundant number, since it is smaller than the sum of its proper divisors (24151916).

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

23663104 is an equidigital number, since it uses as much as digits as its factorization.

23663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 23663104 is about 4864.4736611477. The cubic root of 23663104 is about 287.0938598018.

Adding to 23663104 its reverse (40136632), we get a palindrome (63799736).

The spelling of 23663104 in words is "twenty-three million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 409 452 512 818 904 1636 1808 3272 3616 6544 7232 13088 14464 26176 28928 46217 52352 57856 92434 104704 184868 209408 369736 739472 1478944 2957888 5915776 11831552 23663104