Search a number
-
+
23933085 = 3511314679
BaseRepresentation
bin101101101001…
…1000010011101
31200000221000120
41123103002131
522111324320
62212545153
7410266521
oct133230235
950027016
1023933085
1112567310
1280221b9
134c5c6b7
14326dd81
15217b440
hex16d309d

23933085 has 32 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 11227200.

The previous prime is 23933083. The next prime is 23933099. The reversal of 23933085 is 58033932.

It is not a de Polignac number, because 23933085 - 21 = 23933083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23933081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2776 + ... + 7454.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 223933085 is an apocalyptic number.

It is an amenable number.

23933085 is a deficient number, since it is larger than the sum of its proper divisors (19197795).

23933085 is a wasteful number, since it uses less digits than its factorization.

23933085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 23933085 is about 4892.1452349659. The cubic root of 23933085 is about 288.1815863908.

The spelling of 23933085 in words is "twenty-three million, nine hundred thirty-three thousand, eighty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 4679 5115 14037 23395 51469 70185 145049 154407 257345 435147 725245 772035 1595539 2175735 4786617 7977695 23933085