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2064032 = 25531217
BaseRepresentation
bin111110111111010100000
310212212022122
413313322200
51012022112
6112123412
723354405
oct7677240
93785278
102064032
11118a813
12836568
13573629
143ba2ac
152ab872
hex1f7ea0

2064032 has 24 divisors (see below), whose sum is σ = 4143636. Its totient is φ = 1011712.

The previous prime is 2064031. The next prime is 2064047. The reversal of 2064032 is 2304602.

It can be written as a sum of positive squares in 2 ways, for example, as 2062096 + 1936 = 1436^2 + 44^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2064032.

It is not an unprimeable number, because it can be changed into a prime (2064031) 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 3 ways as a sum of consecutive naturals, for example, 1088 + ... + 2304.

22064032 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 2064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071818).

2064032 is an abundant number, since it is smaller than the sum of its proper divisors (2079604).

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

2064032 is a wasteful number, since it uses less digits than its factorization.

2064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2064032 is about 1436.6739365632. The cubic root of 2064032 is about 127.3225931994.

Adding to 2064032 its reverse (2304602), we get a palindrome (4368634).

The spelling of 2064032 in words is "two million, sixty-four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1217 1696 2434 4868 9736 19472 38944 64501 129002 258004 516008 1032016 2064032