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1340216505 = 325179718061
BaseRepresentation
bin100111111100010…
…0001010010111001
310110101212001102100
41033320201102321
510221043412010
6340553254013
745132436515
oct11770412271
93411761370
101340216505
11628576551
12314a04309
13184879224
14c9dcd145
157c9d62c0
hex4fe214b9

1340216505 has 48 divisors (see below), whose sum is σ = 2485186704. Its totient is φ = 665763840.

The previous prime is 1340216483. The next prime is 1340216513. The reversal of 1340216505 is 5056120431.

1340216505 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 1 + 650 + 5 = 666.

1340216505 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 63154809 + 1277061696 = 7947^2 + 35736^2 .

It is not a de Polignac number, because 1340216505 - 25 = 1340216473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65175 + ... + 83235.

It is an arithmetic number, because the mean of its divisors is an integer number (51774723).

Almost surely, 21340216505 is an apocalyptic number.

1340216505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1340216505 is a deficient number, since it is larger than the sum of its proper divisors (1144970199).

1340216505 is a wasteful number, since it uses less digits than its factorization.

1340216505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18183 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1340216505 is about 36608.9675489490. The cubic root of 1340216505 is about 1102.5331441437.

Adding to 1340216505 its reverse (5056120431), we get a palindrome (6396336936).

The spelling of 1340216505 in words is "one billion, three hundred forty million, two hundred sixteen thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 97 153 255 291 485 765 873 1455 1649 4365 4947 8245 14841 18061 24735 54183 74205 90305 162549 270915 307037 812745 921111 1535185 1751917 2763333 4605555 5255751 8759585 13816665 15767253 26278755 29782589 78836265 89347767 148912945 268043301 446738835 1340216505