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2064128 = 2811733
BaseRepresentation
bin111110111111100000000
310212212110012
413313330000
51012023003
6112124052
723354603
oct7677400
93785405
102064128
11118a8a0
12836628
135736a1
143ba33a
152ab8d8
hex1f7f00

2064128 has 36 divisors (see below), whose sum is σ = 4500888. Its totient is φ = 936960.

The previous prime is 2064121. The next prime is 2064143. The reversal of 2064128 is 8214602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2450 + ... + 3182.

22064128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250444).

2064128 is an abundant number, since it is smaller than the sum of its proper divisors (2436760).

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

2064128 is an equidigital number, since it uses as much as digits as its factorization.

2064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2064128 is about 1436.7073466785. The cubic root of 2064128 is about 127.3245671319.

It can be divided in two parts, 206 and 4128, that added together give a palindrome (4334).

The spelling of 2064128 in words is "two million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 733 1408 1466 2816 2932 5864 8063 11728 16126 23456 32252 46912 64504 93824 129008 187648 258016 516032 1032064 2064128