Search a number
-
+
23540325 = 3521737499
BaseRepresentation
bin101100111001…
…1001001100101
31122021222020220
41121303021211
522011242300
62200314553
7404042454
oct131631145
948258226
1023540325
1112319216
127a72a59
134b529b3
1431aab9b
1520eeda0
hex1673265

23540325 has 48 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 11473920.

The previous prime is 23540323. The next prime is 23540333. The reversal of 23540325 is 52304532.

It is not a de Polignac number, because 23540325 - 21 = 23540323 is a prime.

It is a super-2 number, since 2×235403252 = 1108293802211250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23540295 and 23540304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23540323) 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 47 ways as a sum of consecutive naturals, for example, 46926 + ... + 47424.

It is an arithmetic number, because the mean of its divisors is an integer number (883500).

Almost surely, 223540325 is an apocalyptic number.

23540325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23540325 is a deficient number, since it is larger than the sum of its proper divisors (18867675).

23540325 is a wasteful number, since it uses less digits than its factorization.

23540325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 23540325 is about 4851.8372808659. The cubic root of 23540325 is about 286.5964576274.

Adding to 23540325 its reverse (52304532), we get a palindrome (75844857).

The spelling of 23540325 in words is "twenty-three million, five hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 37 51 75 85 111 185 255 425 499 555 629 925 1275 1497 1887 2495 2775 3145 7485 8483 9435 12475 15725 18463 25449 37425 42415 47175 55389 92315 127245 212075 276945 313871 461575 636225 941613 1384725 1569355 4708065 7846775 23540325