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23713105 = 513973761
BaseRepresentation
bin101101001110…
…1010101010001
31122121202021011
41122131111101
522032304410
62204130521
7405362263
oct132352521
948552234
1023713105
1112427009
127b36a41
134bb3530
143213b33
15213618a
hex169d551

23713105 has 16 divisors (see below), whose sum is σ = 30968784. Its totient is φ = 17326080.

The previous prime is 23713091. The next prime is 23713111. The reversal of 23713105 is 50131732.

It can be written as a sum of positive squares in 8 ways, for example, as 2331729 + 21381376 = 1527^2 + 4624^2 .

It is not a de Polignac number, because 23713105 - 25 = 23713073 is a prime.

It is a super-2 number, since 2×237131052 = 1124622697482050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4425 + ... + 8185.

It is an arithmetic number, because the mean of its divisors is an integer number (1935549).

Almost surely, 223713105 is an apocalyptic number.

It is an amenable number.

23713105 is a deficient number, since it is larger than the sum of its proper divisors (7255679).

23713105 is a wasteful number, since it uses less digits than its factorization.

23713105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 23713105 is about 4869.6103540222. The cubic root of 23713105 is about 287.2959307991.

Adding to 23713105 its reverse (50131732), we get a palindrome (73844837).

It can be divided in two parts, 2371 and 3105, that added together give a square (5476 = 742).

The spelling of 23713105 in words is "twenty-three million, seven hundred thirteen thousand, one hundred five".

Divisors: 1 5 13 65 97 485 1261 3761 6305 18805 48893 244465 364817 1824085 4742621 23713105