Search a number
-
+
23679945 = 34559991
BaseRepresentation
bin101101001010…
…1001111001001
31122120001210000
41122111033021
522030224240
62203313213
7405163512
oct132251711
948501700
1023679945
1112404103
127b1b809
134ba1403
143205a09
15212b430
hex16953c9

23679945 has 40 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 12402720.

The previous prime is 23679917. The next prime is 23679973. The reversal of 23679945 is 54997632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23679917) and next prime (23679973).

It is not a de Polignac number, because 23679945 - 25 = 23679913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23679945.

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 39 ways as a sum of consecutive naturals, for example, 23400 + ... + 24390.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 223679945 is an apocalyptic number.

It is an amenable number.

23679945 is a deficient number, since it is larger than the sum of its proper divisors (19531575).

23679945 is an equidigital number, since it uses as much as digits as its factorization.

23679945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 23679945 is about 4866.2043730201. The cubic root of 23679945 is about 287.1619517582.

The spelling of 23679945 in words is "twenty-three million, six hundred seventy-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 59 81 135 177 295 405 531 885 991 1593 2655 2973 4779 4955 7965 8919 14865 23895 26757 44595 58469 80271 133785 175407 292345 401355 526221 877035 1578663 2631105 4735989 7893315 23679945