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12137841 = 326122109
BaseRepresentation
bin101110010011…
…010101110001
3211211122222200
4232103111301
511101402331
61112053413
7205112202
oct56232561
924748880
1012137841
116940381
124094269
13268c971
14187d5a9
1510eb5e6
hexb93571

12137841 has 12 divisors (see below), whose sum is σ = 17820660. Its totient is φ = 7958880.

The previous prime is 12137831. The next prime is 12137843. The reversal of 12137841 is 14873121.

It can be written as a sum of positive squares in 2 ways, for example, as 848241 + 11289600 = 921^2 + 3360^2 .

It is not a de Polignac number, because 12137841 - 25 = 12137809 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12137843) 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 11 ways as a sum of consecutive naturals, for example, 10506 + ... + 11603.

It is an arithmetic number, because the mean of its divisors is an integer number (1485055).

Almost surely, 212137841 is an apocalyptic number.

It is an amenable number.

12137841 is a deficient number, since it is larger than the sum of its proper divisors (5682819).

12137841 is a wasteful number, since it uses less digits than its factorization.

12137841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22173 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 12137841 is about 3483.9404415116. The cubic root of 12137841 is about 229.8161164154.

The spelling of 12137841 in words is "twelve million, one hundred thirty-seven thousand, eight hundred forty-one".

Divisors: 1 3 9 61 183 549 22109 66327 198981 1348649 4045947 12137841