Search a number
-
+
5142313 = 1117107257
BaseRepresentation
bin10011100111011100101001
3100200020221001
4103213130221
52304023223
6302115001
761465111
oct23473451
910606831
105142313
1129a2550
12187ba61
1310b07b7
1497c041
156b89ad
hex4e7729

5142313 has 16 divisors (see below), whose sum is σ = 6018624. Its totient is φ = 4341760.

The previous prime is 5142289. The next prime is 5142323. The reversal of 5142313 is 3132415.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5142313 is a prime.

It is a Duffinian number.

5142313 is a modest number, since divided by 2313 gives 514 as remainder.

5142313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5142323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19881 + ... + 20137.

It is an arithmetic number, because the mean of its divisors is an integer number (376164).

Almost surely, 25142313 is an apocalyptic number.

It is an amenable number.

5142313 is a deficient number, since it is larger than the sum of its proper divisors (876311).

5142313 is a wasteful number, since it uses less digits than its factorization.

5142313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its digits is 360, while the sum is 19.

The square root of 5142313 is about 2267.6668626586. Note that the first 3 decimals coincide. The cubic root of 5142313 is about 172.6047868549.

Adding to 5142313 its reverse (3132415), we get a palindrome (8274728).

The spelling of 5142313 in words is "five million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 11 17 107 187 257 1177 1819 2827 4369 20009 27499 48059 302489 467483 5142313