Search a number
-
+
1340132013 = 33114512229
BaseRepresentation
bin100111111100000…
…1100101010101101
310110101200202112000
41033320030222231
510221033211023
6340551402513
745131635263
oct11770145255
93411622460
101340132013
11628519020
12314983439
1318484992c
14c9daa433
157c9bb243
hex4fe0caad

1340132013 has 16 divisors (see below), whose sum is σ = 2165870400. Its totient is φ = 812201040.

The previous prime is 1340131999. The next prime is 1340132051. The reversal of 1340132013 is 3102310431.

1340132013 is a `hidden beast` number, since 1 + 340 + 1 + 320 + 1 + 3 = 666.

It is not a de Polignac number, because 1340132013 - 28 = 1340131757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340132713) 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 15 ways as a sum of consecutive naturals, for example, 2255818 + ... + 2256411.

It is an arithmetic number, because the mean of its divisors is an integer number (135366900).

Almost surely, 21340132013 is an apocalyptic number.

It is an amenable number.

1340132013 is a deficient number, since it is larger than the sum of its proper divisors (825738387).

1340132013 is a wasteful number, since it uses less digits than its factorization.

1340132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512249 (or 4512243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1340132013 is about 36607.8135512079. The cubic root of 1340132013 is about 1102.5099744574.

Adding to 1340132013 its reverse (3102310431), we get a palindrome (4442442444).

The spelling of 1340132013 in words is "one billion, three hundred forty million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 297 4512229 13536687 40610061 49634519 121830183 148903557 446710671 1340132013