Search a number
-
+
2106149 is a prime number
BaseRepresentation
bin1000000010001100100101
310222000002112
420002030211
51014344044
6113050405
723621243
oct10021445
93860075
102106149
111209421
12856a05
13589856
143cb793
152b909e
hex202325

2106149 has 2 divisors, whose sum is σ = 2106150. Its totient is φ = 2106148.

The previous prime is 2106107. The next prime is 2106173. The reversal of 2106149 is 9416012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1803649 + 302500 = 1343^2 + 550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2106149 is a prime.

It is a super-2 number, since 2×21061492 = 8871727220402, which contains 22 as substring.

It is a Chen prime.

It is equal to p156236 and since 2106149 and 156236 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2106199) 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, 1053074 + 1053075.

It is an arithmetic number, because the mean of its divisors is an integer number (1053075).

22106149 is an apocalyptic number.

It is an amenable number.

2106149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106149 is an equidigital number, since it uses as much as digits as its factorization.

2106149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2106149 is about 1451.2577303842. The cubic root of 2106149 is about 128.1827832958.

The spelling of 2106149 in words is "two million, one hundred six thousand, one hundred forty-nine".