Search a number
-
+
12182325 = 3521983103
BaseRepresentation
bin101110011110…
…001100110101
3211220221000020
4232132030311
511104313300
61113035353
7205355661
oct56361465
924827006
1012182325
116970841
1240b5b59
1326a6c9c
1418918a1
1511098a0
hexb9e335

12182325 has 48 divisors (see below), whose sum is σ = 21665280. Its totient is φ = 6022080.

The previous prime is 12182321. The next prime is 12182329. The reversal of 12182325 is 52328121.

It is an interprime number because it is at equal distance from previous prime (12182321) and next prime (12182329).

It is not a de Polignac number, because 12182325 - 22 = 12182321 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12182295 and 12182304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12182321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118224 + ... + 118326.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 212182325 is an apocalyptic number.

12182325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12182325 is the 2850-th pentagonal number.

It is an amenable number.

12182325 is a deficient number, since it is larger than the sum of its proper divisors (9482955).

12182325 is a wasteful number, since it uses less digits than its factorization.

12182325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12182325 is about 3490.3187533519. The cubic root of 12182325 is about 230.0965253325.

The spelling of 12182325 in words is "twelve million, one hundred eighty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 83 95 103 249 285 309 415 475 515 1245 1425 1545 1577 1957 2075 2575 4731 5871 6225 7725 7885 8549 9785 23655 25647 29355 39425 42745 48925 118275 128235 146775 162431 213725 487293 641175 812155 2436465 4060775 12182325