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2085138 = 2321110531
BaseRepresentation
bin111111101000100010010
310220221021100
413331010102
51013211023
6112405230
723503056
oct7750422
93827240
102085138
1111a4660
12846816
13580113
143c3c66
152b2c43
hex1fd112

2085138 has 24 divisors (see below), whose sum is σ = 4928976. Its totient is φ = 631800.

The previous prime is 2085133. The next prime is 2085143. The reversal of 2085138 is 8315802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2085133) and next prime (2085143).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2085131) 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 11 ways as a sum of consecutive naturals, for example, 5068 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (205374).

22085138 is an apocalyptic number.

2085138 is an abundant number, since it is smaller than the sum of its proper divisors (2843838).

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

2085138 is a wasteful number, since it uses less digits than its factorization.

2085138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2085138 is about 1444.0006925206. Note that the first 3 decimals coincide. The cubic root of 2085138 is about 127.7551063046.

It can be divided in two parts, 20 and 85138, that added together give a palindrome (85158).

The spelling of 2085138 in words is "two million, eighty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10531 21062 31593 63186 94779 115841 189558 231682 347523 695046 1042569 2085138