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2130689 = 11217609
BaseRepresentation
bin1000001000001100000001
311000020202102
420020030001
51021140224
6113400145
724052631
oct10101401
94006672
102130689
111225900
12869055
13597a82
143d66c1
152c14ae
hex208301

2130689 has 6 divisors (see below), whose sum is σ = 2342130. Its totient is φ = 1936880.

The previous prime is 2130683. The next prime is 2130701. The reversal of 2130689 is 9860312.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 148225 = 1408^2 + 385^2 .

It is not a de Polignac number, because 2130689 - 24 = 2130673 is a prime.

It is a super-2 number, since 2×21306892 = 9079671229442, which contains 22 as substring.

It is a d-powerful number, because it can be written as 221 + 1 + 3 + 0 + 62 + 85 + 93 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8684 + ... + 8925.

It is an arithmetic number, because the mean of its divisors is an integer number (390355).

22130689 is an apocalyptic number.

It is an amenable number.

2130689 is a deficient number, since it is larger than the sum of its proper divisors (211441).

2130689 is a wasteful number, since it uses less digits than its factorization.

2130689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2130689 is about 1459.6879803574. The cubic root of 2130689 is about 128.6787068774.

The spelling of 2130689 in words is "two million, one hundred thirty thousand, six hundred eighty-nine".

Divisors: 1 11 121 17609 193699 2130689