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2126749 is a prime number
BaseRepresentation
bin1000000111001110011101
311000001100111
420013032131
51021023444
6113330021
724035302
oct10071635
94001314
102126749
111222949
12866911
13596041
143d50a9
152c0234
hex20739d

2126749 has 2 divisors, whose sum is σ = 2126750. Its totient is φ = 2126748.

The previous prime is 2126687. The next prime is 2126767. The reversal of 2126749 is 9476212.

2126749 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., 1416100 + 710649 = 1190^2 + 843^2 .

It is a cyclic number.

It is not a de Polignac number, because 2126749 - 215 = 2093981 is a prime.

It is a super-2 number, since 2×21267492 = 9046122618002, which contains 22 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2126749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2126779) 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, 1063374 + 1063375.

It is an arithmetic number, because the mean of its divisors is an integer number (1063375).

22126749 is an apocalyptic number.

It is an amenable number.

2126749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2126749 is an equidigital number, since it uses as much as digits as its factorization.

2126749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The square root of 2126749 is about 1458.3377523743. The cubic root of 2126749 is about 128.5993417937.

It can be divided in two parts, 21267 and 49, that added together give a square (21316 = 1462).

The spelling of 2126749 in words is "two million, one hundred twenty-six thousand, seven hundred forty-nine".