Search a number
-
+
2085608 = 23737243
BaseRepresentation
bin111111101001011101000
310220221220202
413331023220
51013214413
6112411332
723504330
oct7751350
93827822
102085608
1111a4a48
12846b48
135803b5
143c40c0
152b2e58
hex1fd2e8

2085608 has 16 divisors (see below), whose sum is σ = 4469280. Its totient is φ = 893808.

The previous prime is 2085607. The next prime is 2085623. The reversal of 2085608 is 8065802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2085607) 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, 18566 + ... + 18677.

It is an arithmetic number, because the mean of its divisors is an integer number (279330).

22085608 is an apocalyptic number.

2085608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2085608 is an abundant number, since it is smaller than the sum of its proper divisors (2383672).

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

2085608 is a wasteful number, since it uses less digits than its factorization.

2085608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37256 (or 37252 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2085608 is about 1444.1634256551. The cubic root of 2085608 is about 127.7647044526.

The spelling of 2085608 in words is "two million, eighty-five thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 56 37243 74486 148972 260701 297944 521402 1042804 2085608