Search a number
-
+
40364101 is a prime number
BaseRepresentation
bin1001100111111…
…0100001000101
32210221201010201
42121332201011
540313122401
64001050501
71000042411
oct231764105
983851121
1040364101
112086a168
1211626a31
1384934ab
145509d41
153824b01
hex267e845

40364101 has 2 divisors, whose sum is σ = 40364102. Its totient is φ = 40364100.

The previous prime is 40364099. The next prime is 40364141. The reversal of 40364101 is 10146304.

It is a happy number.

40364101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40335201 + 28900 = 6351^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 40364101 - 21 = 40364099 is a prime.

Together with 40364099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40364141) 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, 20182050 + 20182051.

It is an arithmetic number, because the mean of its divisors is an integer number (20182051).

Almost surely, 240364101 is an apocalyptic number.

It is an amenable number.

40364101 is a deficient number, since it is larger than the sum of its proper divisors (1).

40364101 is an equidigital number, since it uses as much as digits as its factorization.

40364101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40364101 is about 6353.2748248443. The cubic root of 40364101 is about 343.0297299325.

The spelling of 40364101 in words is "forty million, three hundred sixty-four thousand, one hundred one".