Search a number
-
+
2159110928 = 241322945329
BaseRepresentation
bin1000000010110001…
…0110101100010000
312120110202012101102
42000230112230100
513410213022203
6554125123532
7104335066022
oct20054265420
95513665342
102159110928
11a08841aa7
125030b95a8
13285416240
14166a76012
15c9841888
hex80b16b10

2159110928 has 40 divisors (see below), whose sum is σ = 4524840600. Its totient is φ = 992139264.

The previous prime is 2159110927. The next prime is 2159110931. The reversal of 2159110928 is 8290119512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 496754944 + 1662355984 = 22288^2 + 40772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2159110891 and 2159110900.

It is not an unprimeable number, because it can be changed into a prime (2159110927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24968 + ... + 70296.

It is an arithmetic number, because the mean of its divisors is an integer number (113121015).

Almost surely, 22159110928 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 2159110928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262420300).

2159110928 is an abundant number, since it is smaller than the sum of its proper divisors (2365729672).

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

2159110928 is a wasteful number, since it uses less digits than its factorization.

2159110928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45579 (or 45573 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 38.

The square root of 2159110928 is about 46466.2342782369. The cubic root of 2159110928 is about 1292.4834334244.

The spelling of 2159110928 in words is "two billion, one hundred fifty-nine million, one hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 916 1832 2977 3664 5954 11908 23816 45329 47632 90658 181316 362632 589277 725264 1178554 2357108 4714216 9428432 10380341 20760682 41521364 83042728 134944433 166085456 269888866 539777732 1079555464 2159110928