Search a number
-
+
2121770080 = 25513261063
BaseRepresentation
bin111111001110111…
…1010010001100000
312110212111002101001
41332131322101200
513321133120310
6550312521344
7103402514413
oct17635722140
95425432331
102121770080
119997582a1
124b26b0254
1327a770b71
14161b15b7a
15c641793a
hex7e77a460

2121770080 has 24 divisors (see below), whose sum is σ = 5012682192. Its totient is φ = 848707968.

The previous prime is 2121770059. The next prime is 2121770083. The reversal of 2121770080 is 800771212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121770083) 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 3 ways as a sum of consecutive naturals, for example, 6630372 + ... + 6630691.

It is an arithmetic number, because the mean of its divisors is an integer number (208861758).

Almost surely, 22121770080 is an apocalyptic number.

2121770080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121770080 is an abundant number, since it is smaller than the sum of its proper divisors (2890912112).

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

2121770080 is a wasteful number, since it uses less digits than its factorization.

2121770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261078 (or 13261070 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 2121770080 is about 46062.6755627591. The cubic root of 2121770080 is about 1284.9890898255.

It can be divided in two parts, 21 and 21770080, that added together give a triangular number (21770101 = T6598).

The spelling of 2121770080 in words is "two billion, one hundred twenty-one million, seven hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13261063 26522126 53044252 66305315 106088504 132610630 212177008 265221260 424354016 530442520 1060885040 2121770080