Search a number
-
+
2120418304 = 21014392
BaseRepresentation
bin111111001100011…
…0000010000000000
312110202221102002021
41332120300100000
513320311341204
6550223531224
7103355154364
oct17630602000
95422842067
102120418304
11998a14724
124b2159b14
1327a3b97b4
141618832a4
15c624c154
hex7e630400

2120418304 has 33 divisors (see below), whose sum is σ = 4241713567. Its totient is φ = 1059472384.

The previous prime is 2120418271. The next prime is 2120418319. The reversal of 2120418304 is 4038140212.

The square root of 2120418304 is 46048.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 1472817 + ... + 1474255.

Almost surely, 22120418304 is an apocalyptic number.

2120418304 is the 46048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120418304

2120418304 is an abundant number, since it is smaller than the sum of its proper divisors (2121295263).

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

2120418304 is an frugal number, since it uses more digits than its factorization.

2120418304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 2120418304 is about 1284.7161437536.

Multiplying 2120418304 by its sum of digits (25), we get a square (53010457600 = 2302402).

Adding to 2120418304 its reverse (4038140212), we get a palindrome (6158558516).

The spelling of 2120418304 in words is "two billion, one hundred twenty million, four hundred eighteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1439 2878 5756 11512 23024 46048 92096 184192 368384 736768 1473536 2070721 4141442 8282884 16565768 33131536 66263072 132526144 265052288 530104576 1060209152 2120418304