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2068584 = 233721759
BaseRepresentation
bin111111001000001101000
310220002120020
413321001220
51012143314
6112200440
723403600
oct7710150
93802506
102068584
111193181
12839120
1357571b
143bbc00
152acda9
hex1f9068

2068584 has 48 divisors (see below), whose sum is σ = 6019200. Its totient is φ = 590688.

The previous prime is 2068579. The next prime is 2068589. The reversal of 2068584 is 4858602.

It is an interprime number because it is at equal distance from previous prime (2068579) and next prime (2068589).

It is not an unprimeable number, because it can be changed into a prime (2068589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (125400).

22068584 is an apocalyptic number.

2068584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009600).

2068584 is an abundant number, since it is smaller than the sum of its proper divisors (3950616).

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

2068584 is a wasteful number, since it uses less digits than its factorization.

2068584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2068584 is about 1438.2572787926. The cubic root of 2068584 is about 127.4161232261.

The spelling of 2068584 in words is "two million, sixty-eight thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1759 3518 5277 7036 10554 12313 14072 21108 24626 36939 42216 49252 73878 86191 98504 147756 172382 258573 295512 344764 517146 689528 1034292 2068584