Search a number
-
+
23820093 = 3211240607
BaseRepresentation
bin101101011011…
…1011100111101
31122211012000200
41122313130331
522044220333
62210314113
7406316223
oct132673475
948735020
1023820093
111249a430
127b88939
134c2013b
143240b13
152157c13
hex16b773d

23820093 has 12 divisors (see below), whose sum is σ = 37534848. Its totient is φ = 14436360.

The previous prime is 23820079. The next prime is 23820103. The reversal of 23820093 is 39002832.

It is not a de Polignac number, because 23820093 - 29 = 23819581 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23820593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120205 + ... + 120402.

It is an arithmetic number, because the mean of its divisors is an integer number (3127904).

Almost surely, 223820093 is an apocalyptic number.

It is an amenable number.

23820093 is a deficient number, since it is larger than the sum of its proper divisors (13714755).

23820093 is a wasteful number, since it uses less digits than its factorization.

23820093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240624 (or 240621 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23820093 is about 4880.5832643241. The cubic root of 23820093 is about 287.7273533702.

The spelling of 23820093 in words is "twenty-three million, eight hundred twenty thousand, ninety-three".

Divisors: 1 3 9 11 33 99 240607 721821 2165463 2646677 7940031 23820093