Search a number
-
+
23413320 = 23335719163
BaseRepresentation
bin101100101010…
…0001001001000
31122001112001000
41121110021020
521443211240
62153455000
7403003260
oct131241110
948045030
1023413320
1112241857
127a11460
134b09c48
1431767a0
1520c7430
hex1654248

23413320 has 256 divisors, whose sum is σ = 94464000. Its totient is φ = 5038848.

The previous prime is 23413289. The next prime is 23413349. The reversal of 23413320 is 2331432.

23413320 is a `hidden beast` number, since 2 + 341 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23413293 and 23413302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143559 + ... + 143721.

It is an arithmetic number, because the mean of its divisors is an integer number (369000).

Almost surely, 223413320 is an apocalyptic number.

23413320 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 23413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47232000).

23413320 is an abundant number, since it is smaller than the sum of its proper divisors (71050680).

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

23413320 is a wasteful number, since it uses less digits than its factorization.

23413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23413320 is about 4838.7312386616. The cubic root of 23413320 is about 286.0801118755.

Adding to 23413320 its reverse (2331432), we get a palindrome (25744752).

The spelling of 23413320 in words is "twenty-three million, four hundred thirteen thousand, three hundred twenty".