Search a number
-
+
12187125 = 335323157
BaseRepresentation
bin101110011111…
…010111110101
3211221011121000
4232133113311
511104442000
61113113513
7205405656
oct56372765
924834530
1012187125
116974405
1240b8899
1326a9222
14189352d
15110b000
hexb9f5f5

12187125 has 64 divisors (see below), whose sum is σ = 23662080. Its totient is φ = 6177600.

The previous prime is 12187121. The next prime is 12187183. The reversal of 12187125 is 52178121.

It is not a de Polignac number, because 12187125 - 22 = 12187121 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 (12187121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77547 + ... + 77703.

It is an arithmetic number, because the mean of its divisors is an integer number (369720).

Almost surely, 212187125 is an apocalyptic number.

12187125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12187125 is a deficient number, since it is larger than the sum of its proper divisors (11474955).

12187125 is a wasteful number, since it uses less digits than its factorization.

12187125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 12187125 is about 3491.0063019135. The cubic root of 12187125 is about 230.1267417402.

The spelling of 12187125 in words is "twelve million, one hundred eighty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 125 135 157 207 225 345 375 471 575 621 675 785 1035 1125 1413 1725 2355 2875 3105 3375 3611 3925 4239 5175 7065 8625 10833 11775 15525 18055 19625 21195 25875 32499 35325 54165 58875 77625 90275 97497 105975 162495 176625 270825 451375 487485 529875 812475 1354125 2437425 4062375 12187125