Search a number
-
+
2086120 = 23552153
BaseRepresentation
bin111111101010011101000
310220222121201
413331103220
51013223440
6112413544
723505661
oct7752350
93828551
102086120
1111a5373
128472b4
135806ba
143c4368
152b319a
hex1fd4e8

2086120 has 16 divisors (see below), whose sum is σ = 4693860. Its totient is φ = 834432.

The previous prime is 2086111. The next prime is 2086127. The reversal of 2086120 is 216802.

It is a happy number.

2086120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1943236 + 142884 = 1394^2 + 378^2 .

It is not an unprimeable number, because it can be changed into a prime (2086127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26037 + ... + 26116.

22086120 is an apocalyptic number.

2086120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086120 is an abundant number, since it is smaller than the sum of its proper divisors (2607740).

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

2086120 is a wasteful number, since it uses less digits than its factorization.

2086120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52164 (or 52160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2086120 is about 1444.3406800336. The cubic root of 2086120 is about 127.7751586665.

It can be divided in two parts, 208 and 6120, that added together give a triangular number (6328 = T112).

The spelling of 2086120 in words is "two million, eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 52153 104306 208612 260765 417224 521530 1043060 2086120