Search a number
-
+
2137909 = 2973721
BaseRepresentation
bin1000001001111100110101
311000121122211
420021330311
51021403114
6113453421
724112654
oct10117465
94017584
102137909
111230274
12871271
1359b147
143d919b
152c36c4
hex209f35

2137909 has 4 divisors (see below), whose sum is σ = 2211660. Its totient is φ = 2064160.

The previous prime is 2137907. The next prime is 2137913. The reversal of 2137909 is 9097312.

2137909 = T242 + T243 + ... + T299.

2137909 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 815409 + 1322500 = 903^2 + 1150^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137909 - 21 = 2137907 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137907) 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 in 3 ways as a sum of consecutive naturals, for example, 36832 + ... + 36889.

It is an arithmetic number, because the mean of its divisors is an integer number (552915).

22137909 is an apocalyptic number.

2137909 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2137909 is a deficient number, since it is larger than the sum of its proper divisors (73751).

2137909 is an equidigital number, since it uses as much as digits as its factorization.

2137909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73750.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 2137909 is about 1462.1590200796. The cubic root of 2137909 is about 128.8238888409.

The spelling of 2137909 in words is "two million, one hundred thirty-seven thousand, nine hundred nine".

Divisors: 1 29 73721 2137909