Search a number
-
+
2109733 is a prime number
BaseRepresentation
bin1000000011000100100101
310222012000021
420003010211
51020002413
6113115141
723634553
oct10030445
93865007
102109733
11121108a
12858ab1
1358b382
143ccbd3
152ba18d
hex203125

2109733 has 2 divisors, whose sum is σ = 2109734. Its totient is φ = 2109732.

The previous prime is 2109727. The next prime is 2109739. The reversal of 2109733 is 3379012.

It is a balanced prime because it is at equal distance from previous prime (2109727) and next prime (2109739).

It can be written as a sum of positive squares in only one way, i.e., 1909924 + 199809 = 1382^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 2109733 - 217 = 1978661 is a prime.

2109733 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2109698 and 2109707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2109739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1054866 + 1054867.

It is an arithmetic number, because the mean of its divisors is an integer number (1054867).

22109733 is an apocalyptic number.

It is an amenable number.

2109733 is a deficient number, since it is larger than the sum of its proper divisors (1).

2109733 is an equidigital number, since it uses as much as digits as its factorization.

2109733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 2109733 is about 1452.4919965356. The cubic root of 2109733 is about 128.2554509549.

The spelling of 2109733 in words is "two million, one hundred nine thousand, seven hundred thirty-three".