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2009064 = 23397863
BaseRepresentation
bin111101010011111101000
310210001220210
413222133220
51003242224
6111021120
723035221
oct7523750
93701823
102009064
111152492
1280a7a0
135545c5
143a4248
1529a429
hex1ea7e8

2009064 has 32 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 662016.

The previous prime is 2009039. The next prime is 2009069. The reversal of 2009064 is 4609002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009064.

It is not an unprimeable number, because it can be changed into a prime (2009069) 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 7 ways as a sum of consecutive naturals, for example, 1897 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

22009064 is an apocalyptic number.

2009064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2009064 is an abundant number, since it is smaller than the sum of its proper divisors (3071256).

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

2009064 is a wasteful number, since it uses less digits than its factorization.

2009064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2009064 is about 1417.4145476889. The cubic root of 2009064 is about 126.1821502562.

The spelling of 2009064 in words is "two million, nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 863 1164 1726 2328 2589 3452 5178 6904 10356 20712 83711 167422 251133 334844 502266 669688 1004532 2009064