Search a number
-
+
2148329 is a prime number
BaseRepresentation
bin1000001100011111101001
311001010221202
420030133221
51022221304
6114013545
724155231
oct10143751
94033852
102148329
111238087
128772b5
135a2b01
143dccc1
152c681e
hex20c7e9

2148329 has 2 divisors, whose sum is σ = 2148330. Its totient is φ = 2148328.

The previous prime is 2148301. The next prime is 2148337. The reversal of 2148329 is 9238412.

2148329 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., 1690000 + 458329 = 1300^2 + 677^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148329 - 28 = 2148073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2148379) 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 as a sum of consecutive naturals, namely, 1074164 + 1074165.

It is an arithmetic number, because the mean of its divisors is an integer number (1074165).

22148329 is an apocalyptic number.

It is an amenable number.

2148329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148329 is an equidigital number, since it uses as much as digits as its factorization.

2148329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 2148329 is about 1465.7179128332. The cubic root of 2148329 is about 129.0328422279.

It can be divided in two parts, 21483 and 29, that added together give a palindrome (21512).

The spelling of 2148329 in words is "two million, one hundred forty-eight thousand, three hundred twenty-nine".