Search a number
-
+
2690320 = 24533629
BaseRepresentation
bin1010010000110100010000
312001200102111
422100310100
51142042240
6133355104
731603333
oct12206420
95050374
102690320
111578306
12a98a94
13732709
1450061a
153821ea
hex290d10

2690320 has 20 divisors (see below), whose sum is σ = 6255180. Its totient is φ = 1076096.

The previous prime is 2690299. The next prime is 2690321. The reversal of 2690320 is 230962.

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 1971216 = 848^2 + 1404^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2690291 and 2690300.

It is not an unprimeable number, because it can be changed into a prime (2690321) 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, 16735 + ... + 16894.

It is an arithmetic number, because the mean of its divisors is an integer number (312759).

22690320 is an apocalyptic number.

2690320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2690320 is an abundant number, since it is smaller than the sum of its proper divisors (3564860).

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

2690320 is a wasteful number, since it uses less digits than its factorization.

2690320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33642 (or 33636 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 2690320 is about 1640.2194975064. The cubic root of 2690320 is about 139.0810561864.

The spelling of 2690320 in words is "two million, six hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33629 67258 134516 168145 269032 336290 538064 672580 1345160 2690320