Search a number
-
+
17002042120 = 235760721579
BaseRepresentation
bin11111101010110011…
…01001001100001000
31121212220100020011201
433311121221030020
5234310010321440
611451032433544
71141216654630
oct176531511410
947786306151
1017002042120
117235233988
123365b488b4
1317ac559a6b
14b740916c0
1569797c19a
hex3f5669308

17002042120 has 32 divisors (see below), whose sum is σ = 43719537600. Its totient is φ = 5829271488.

The previous prime is 17002042081. The next prime is 17002042121. The reversal of 17002042120 is 2124020071.

It is a happy number.

17002042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (17002042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30360510 + ... + 30361069.

It is an arithmetic number, because the mean of its divisors is an integer number (1366235550).

Almost surely, 217002042120 is an apocalyptic number.

17002042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17002042120 is an abundant number, since it is smaller than the sum of its proper divisors (26717495480).

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

17002042120 is a wasteful number, since it uses less digits than its factorization.

17002042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60721597 (or 60721593 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 17002042120 its reverse (2124020071), we get a palindrome (19126062191).

The spelling of 17002042120 in words is "seventeen billion, two million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 60721579 121443158 242886316 303607895 425051053 485772632 607215790 850102106 1214431580 1700204212 2125255265 2428863160 3400408424 4250510530 8501021060 17002042120