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2835066 = 2313191913
BaseRepresentation
bin1010110100001001111010
312100000222110
422310021322
51211210231
6140433150
733045333
oct12641172
95300873
102835066
111667033
12b487b6
13783570
1453b28a
153b0046
hex2b427a

2835066 has 32 divisors (see below), whose sum is σ = 6431040. Its totient is φ = 825984.

The previous prime is 2835061. The next prime is 2835071. The reversal of 2835066 is 6605382.

2835066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2835061) and next prime (2835071).

It is not an unprimeable number, because it can be changed into a prime (2835061) 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 15 ways as a sum of consecutive naturals, for example, 526 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (200970).

22835066 is an apocalyptic number.

2835066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215520).

2835066 is an abundant number, since it is smaller than the sum of its proper divisors (3595974).

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

2835066 is a wasteful number, since it uses less digits than its factorization.

2835066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2835066 is about 1683.7654230919. The cubic root of 2835066 is about 141.5319177001.

The spelling of 2835066 in words is "two million, eight hundred thirty-five thousand, sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 1913 3826 5739 11478 24869 36347 49738 72694 74607 109041 149214 218082 472511 945022 1417533 2835066