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2416141 = 72133793
BaseRepresentation
bin1001001101111000001101
311112202022201
421031320031
51104304031
6123441501
726352100
oct11157015
94482281
102416141
111400312
12986291
13667990
1446c737
1532ad61
hex24de0d

2416141 has 12 divisors (see below), whose sum is σ = 3027612. Its totient is φ = 1911168.

The previous prime is 2416133. The next prime is 2416147. The reversal of 2416141 is 1416142.

2416141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 2019241 = 630^2 + 1421^2 .

It is not a de Polignac number, because 2416141 - 23 = 2416133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260 + ... + 2533.

It is an arithmetic number, because the mean of its divisors is an integer number (252301).

22416141 is an apocalyptic number.

It is an amenable number.

2416141 is a deficient number, since it is larger than the sum of its proper divisors (611471).

2416141 is a wasteful number, since it uses less digits than its factorization.

2416141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3813 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 2416141 is about 1554.3940941730. The cubic root of 2416141 is about 134.1860673478.

Subtracting from 2416141 its reverse (1416142), we obtain a palindrome (999999).

The spelling of 2416141 in words is "two million, four hundred sixteen thousand, one hundred forty-one".

Divisors: 1 7 13 49 91 637 3793 26551 49309 185857 345163 2416141