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4140117 = 32460013
BaseRepresentation
bin1111110010110001010101
321210100011200
433302301111
52024440432
6224423113
750122212
oct17626125
97710150
104140117
112378593
121477a99
13b1c597
1479ab09
1556ba7c
hex3f2c55

4140117 has 6 divisors (see below), whose sum is σ = 5980182. Its totient is φ = 2760072.

The previous prime is 4140113. The next prime is 4140121. The reversal of 4140117 is 7110414.

It is an interprime number because it is at equal distance from previous prime (4140113) and next prime (4140121).

It can be written as a sum of positive squares in only one way, i.e., 2604996 + 1535121 = 1614^2 + 1239^2 .

It is not a de Polignac number, because 4140117 - 22 = 4140113 is a prime.

It is an Ulam number.

4140117 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140113) 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 5 ways as a sum of consecutive naturals, for example, 229998 + ... + 230015.

It is an arithmetic number, because the mean of its divisors is an integer number (996697).

Almost surely, 24140117 is an apocalyptic number.

It is an amenable number.

4140117 is a deficient number, since it is larger than the sum of its proper divisors (1840065).

4140117 is a wasteful number, since it uses less digits than its factorization.

4140117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460019 (or 460016 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 4140117 is about 2034.7277459159. The cubic root of 4140117 is about 160.5723899731.

The spelling of 4140117 in words is "four million, one hundred forty thousand, one hundred seventeen".

Divisors: 1 3 9 460013 1380039 4140117