Search a number
-
+
23382920 = 23511192797
BaseRepresentation
bin101100100110…
…0101110001000
31121222222100002
41121030232020
521441223140
62153102132
7402515531
oct131145610
947888302
1023382920
1112220a30
1279b7948
134ac9162
143169688
1520bd415
hex164cb88

23382920 has 64 divisors (see below), whose sum is σ = 60436800. Its totient is φ = 8052480.

The previous prime is 23382913. The next prime is 23382929. The reversal of 23382920 is 2928332.

It is not an unprimeable number, because it can be changed into a prime (23382929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6962 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (944325).

Almost surely, 223382920 is an apocalyptic number.

23382920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30218400).

23382920 is an abundant number, since it is smaller than the sum of its proper divisors (37053880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23382920 is a wasteful number, since it uses less digits than its factorization.

23382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 23382920 is about 4835.5888989863. The cubic root of 23382920 is about 285.9562421847.

The spelling of 23382920 in words is "twenty-three million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 2797 4180 5594 8360 11188 13985 22376 27970 30767 53143 55940 61534 106286 111880 123068 153835 212572 246136 265715 307670 425144 531430 584573 615340 1062860 1169146 1230680 2125720 2338292 2922865 4676584 5845730 11691460 23382920