Search a number
-
+
23509904 = 2411312139
BaseRepresentation
bin101100110101…
…1101110010000
31122020102112012
41121223232100
522004304104
62155522052
7403554665
oct131535620
948212465
1023509904
11122a8380
127a59328
134b41bb2
14319da6c
1520e5d6e
hex166bb90

23509904 has 60 divisors (see below), whose sum is σ = 51715440. Its totient is φ = 10267200.

The previous prime is 23509901. The next prime is 23509919. The reversal of 23509904 is 40990532.

It is not an unprimeable number, because it can be changed into a prime (23509901) 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 11 ways as a sum of consecutive naturals, for example, 169067 + ... + 169205.

It is an arithmetic number, because the mean of its divisors is an integer number (861924).

Almost surely, 223509904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23509904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25857720).

23509904 is an abundant number, since it is smaller than the sum of its proper divisors (28205536).

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

23509904 is a wasteful number, since it uses less digits than its factorization.

23509904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 23509904 is about 4848.7012694123. The cubic root of 23509904 is about 286.4729488656.

The spelling of 23509904 in words is "twenty-three million, five hundred nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 139 176 248 278 341 496 556 682 961 1112 1364 1529 1922 2224 2728 3058 3844 4309 5456 6116 7688 8618 10571 12232 15376 17236 21142 24464 34472 42284 47399 68944 84568 94798 133579 169136 189596 267158 379192 534316 758384 1068632 1469369 2137264 2938738 5877476 11754952 23509904