Search a number
-
+
2728701313 = 133110962119
BaseRepresentation
bin1010001010100100…
…1010110110000001
321001011112101111121
42202221022312001
521042021420223
61130433312241
7124422402262
oct24251126601
97034471447
102728701313
11118030a758
12641a05681
13346425580
141bc584969
1510e85415d
hexa2a4ad81

2728701313 has 16 divisors (see below), whose sum is σ = 3061273600. Its totient is φ = 2415147840.

The previous prime is 2728701307. The next prime is 2728701329. The reversal of 2728701313 is 3131078272.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2728701313 - 25 = 2728701281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2728701113) 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, 12868 + ... + 74986.

It is an arithmetic number, because the mean of its divisors is an integer number (191329600).

Almost surely, 22728701313 is an apocalyptic number.

It is an amenable number.

2728701313 is a deficient number, since it is larger than the sum of its proper divisors (332572287).

2728701313 is a wasteful number, since it uses less digits than its factorization.

2728701313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62272.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 2728701313 is about 52236.9726630478. The cubic root of 2728701313 is about 1397.3933321256.

Adding to 2728701313 its reverse (3131078272), we get a palindrome (5859779585).

The spelling of 2728701313 in words is "two billion, seven hundred twenty-eight million, seven hundred one thousand, three hundred thirteen".

Divisors: 1 13 31 109 403 1417 3379 43927 62119 807547 1925689 6770971 25033957 88022623 209900101 2728701313