Search a number
-
+
2002093120 = 2656256541
BaseRepresentation
bin111011101010101…
…1000010001000000
312011112021212110001
41313111120101000
513100013434440
6530355445344
7100420340116
oct16725302100
95145255401
102002093120
11938147215
1247a5b6854
1325ba2acb1
1414dc81ab6
15bab77b9a
hex77558440

2002093120 has 28 divisors (see below), whose sum is σ = 4767485004. Its totient is φ = 800837120.

The previous prime is 2002093117. The next prime is 2002093127. The reversal of 2002093120 is 213902002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 578691136 + 1423401984 = 24056^2 + 37728^2 .

It is a super-2 number, since 2×20020931202 = 8016753722302668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002093127) 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, 3127951 + ... + 3128590.

Almost surely, 22002093120 is an apocalyptic number.

2002093120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002093120 is an abundant number, since it is smaller than the sum of its proper divisors (2765391884).

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

2002093120 is an equidigital number, since it uses as much as digits as its factorization.

2002093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256558 (or 6256548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2002093120 is about 44744.7552233779. The cubic root of 2002093120 is about 1260.3604243113.

Adding to 2002093120 its reverse (213902002), we get a palindrome (2215995122).

The spelling of 2002093120 in words is "two billion, two million, ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6256541 12513082 25026164 31282705 50052328 62565410 100104656 125130820 200209312 250261640 400418624 500523280 1001046560 2002093120