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40106177 is a prime number
BaseRepresentation
bin1001100011111…
…1100011000001
32210110121022222
42120333203001
540231344202
63551340425
7664616426
oct230774301
983417288
1040106177
1120703401
1211521715
138402c87
14547dd4d
1537c34a2
hex263f8c1

40106177 has 2 divisors, whose sum is σ = 40106178. Its totient is φ = 40106176.

The previous prime is 40106149. The next prime is 40106189. The reversal of 40106177 is 77160104.

40106177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26790976 + 13315201 = 5176^2 + 3649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40106177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40106137) 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 as a sum of consecutive naturals, namely, 20053088 + 20053089.

It is an arithmetic number, because the mean of its divisors is an integer number (20053089).

Almost surely, 240106177 is an apocalyptic number.

It is an amenable number.

40106177 is a deficient number, since it is larger than the sum of its proper divisors (1).

40106177 is an equidigital number, since it uses as much as digits as its factorization.

40106177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 40106177 is about 6332.9437862656. The cubic root of 40106177 is about 342.2975221798.

The spelling of 40106177 in words is "forty million, one hundred six thousand, one hundred seventy-seven".