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2642320 = 24533029
BaseRepresentation
bin1010000101000110010000
311222020120201
422011012100
51134023240
6132344544
731313362
oct12050620
94866521
102642320
11154523a
12a75154
13716905
144cad32
15372d9a
hex285190

2642320 has 20 divisors (see below), whose sum is σ = 6143580. Its totient is φ = 1056896.

The previous prime is 2642291. The next prime is 2642323. The reversal of 2642320 is 232462.

2642320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 2359296 = 532^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2642323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16435 + ... + 16594.

It is an arithmetic number, because the mean of its divisors is an integer number (307179).

22642320 is an apocalyptic number.

2642320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642320 is an abundant number, since it is smaller than the sum of its proper divisors (3501260).

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

2642320 is a wasteful number, since it uses less digits than its factorization.

2642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33042 (or 33036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2642320 is about 1625.5214547954. The cubic root of 2642320 is about 138.2489380545.

Adding to 2642320 its reverse (232462), we get a palindrome (2874782).

The spelling of 2642320 in words is "two million, six hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33029 66058 132116 165145 264232 330290 528464 660580 1321160 2642320