Search a number
-
+
12392325 = 3352111669
BaseRepresentation
bin101111010001…
…011110000101
3212022121002000
4233101132011
511133023300
61121335513
7210222141
oct57213605
925277060
1012392325
116aa45a0
124197599
13274b74a
141908221
15114bc00
hexbd1785

12392325 has 48 divisors (see below), whose sum is σ = 24849600. Its totient is φ = 6004800.

The previous prime is 12392323. The next prime is 12392329. The reversal of 12392325 is 52329321.

It is not a de Polignac number, because 12392325 - 21 = 12392323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12392323) 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, 6591 + ... + 8259.

It is an arithmetic number, because the mean of its divisors is an integer number (517700).

Almost surely, 212392325 is an apocalyptic number.

12392325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12392325 is an abundant number, since it is smaller than the sum of its proper divisors (12457275).

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

12392325 is a wasteful number, since it uses less digits than its factorization.

12392325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1688 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 12392325 is about 3520.2734268804. The cubic root of 12392325 is about 231.4111416425.

The spelling of 12392325 in words is "twelve million, three hundred ninety-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 1669 2475 5007 7425 8345 15021 18359 25035 41725 45063 55077 75105 91795 125175 165231 225315 275385 375525 458975 495693 826155 1126575 1376925 2478465 4130775 12392325