Search a number
-
+
2095120 = 24526189
BaseRepresentation
bin111111111100000010000
310221102222001
413333200100
51014020440
6112523344
723544136
oct7774020
93842861
102095120
111201105
12850554
13584821
143c7756
152b5b9a
hex1ff810

2095120 has 20 divisors (see below), whose sum is σ = 4871340. Its totient is φ = 838016.

The previous prime is 2095117. The next prime is 2095127. The reversal of 2095120 is 215902.

It can be written as a sum of positive squares in 2 ways, for example, as 1263376 + 831744 = 1124^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2095127) 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, 13015 + ... + 13174.

It is an arithmetic number, because the mean of its divisors is an integer number (243567).

22095120 is an apocalyptic number.

2095120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2095120 is an abundant number, since it is smaller than the sum of its proper divisors (2776220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2095120 is a wasteful number, since it uses less digits than its factorization.

2095120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26202 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2095120 is about 1447.4529353316. The cubic root of 2095120 is about 127.9586454947.

It can be divided in two parts, 209 and 5120, that added together give a square (5329 = 732).

The spelling of 2095120 in words is "two million, ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26189 52378 104756 130945 209512 261890 419024 523780 1047560 2095120