Search a number
-
+
23745105 = 32547103109
BaseRepresentation
bin101101010010…
…1001001010001
31122200101011100
41122211021101
522034320410
62204535013
7405554466
oct132451121
948611140
1023745105
111244905a
127b51469
134bc4c77
14322166d
1521408c0
hex16a5251

23745105 has 48 divisors (see below), whose sum is σ = 42831360. Its totient is φ = 12161664.

The previous prime is 23745097. The next prime is 23745133. The reversal of 23745105 is 50154732.

It is a happy number.

It is not a de Polignac number, because 23745105 - 23 = 23745097 is a prime.

It is a super-2 number, since 2×237451052 = 1127660022922050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 217791 + ... + 217899.

It is an arithmetic number, because the mean of its divisors is an integer number (892320).

Almost surely, 223745105 is an apocalyptic number.

It is an amenable number.

23745105 is a deficient number, since it is larger than the sum of its proper divisors (19086255).

23745105 is a wasteful number, since it uses less digits than its factorization.

23745105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 23745105 is about 4872.8949301211. The cubic root of 23745105 is about 287.4251046246.

Adding to 23745105 its reverse (50154732), we get a palindrome (73899837).

The spelling of 23745105 in words is "twenty-three million, seven hundred forty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 47 103 109 141 235 309 327 423 515 545 705 927 981 1545 1635 2115 4635 4841 4905 5123 11227 14523 15369 24205 25615 33681 43569 46107 56135 72615 76845 101043 168405 217845 230535 505215 527669 1583007 2638345 4749021 7915035 23745105