Search a number
-
+
2743129 is a prime number
BaseRepresentation
bin1010011101101101011001
312011100212101
422131231121
51200240004
6134443401
732213314
oct12355531
95140771
102743129
111603a54
12b03561
1375076c
1451597b
15392ba4
hex29db59

2743129 has 2 divisors, whose sum is σ = 2743130. Its totient is φ = 2743128.

The previous prime is 2743093. The next prime is 2743133. The reversal of 2743129 is 9213472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2715904 + 27225 = 1648^2 + 165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2743129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2743097 and 2743106.

It is not a weakly prime, because it can be changed into another prime (2743229) 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, 1371564 + 1371565.

It is an arithmetic number, because the mean of its divisors is an integer number (1371565).

22743129 is an apocalyptic number.

It is an amenable number.

2743129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2743129 is an equidigital number, since it uses as much as digits as its factorization.

2743129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 2743129 is about 1656.2394150605. The cubic root of 2743129 is about 139.9851855072.

It can be divided in two parts, 274 and 3129, that added together give a triangular number (3403 = T82).

The spelling of 2743129 in words is "two million, seven hundred forty-three thousand, one hundred twenty-nine".