Search a number
-
+
2749131 = 327113967
BaseRepresentation
bin1010011111001011001011
312011200002200
422133023023
51200433011
6134531243
732236650
oct12371313
95150080
102749131
111608510
12b06b23
13753408
14517c27
15394856
hex29f2cb

2749131 has 24 divisors (see below), whose sum is σ = 4952064. Its totient is φ = 1427760.

The previous prime is 2749127. The next prime is 2749133. The reversal of 2749131 is 1319472.

It is not a de Polignac number, because 2749131 - 22 = 2749127 is a prime.

It is a super-2 number, since 2×27491312 = 15115442510322, which contains 22 as substring.

It is an Ulam number.

2749131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2749095 and 2749104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749133) 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 23 ways as a sum of consecutive naturals, for example, 1291 + ... + 2676.

It is an arithmetic number, because the mean of its divisors is an integer number (206336).

22749131 is an apocalyptic number.

2749131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2749131 is a deficient number, since it is larger than the sum of its proper divisors (2202933).

2749131 is a wasteful number, since it uses less digits than its factorization.

2749131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3988 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 2749131 is about 1658.0503611169. The cubic root of 2749131 is about 140.0872075709.

The spelling of 2749131 in words is "two million, seven hundred forty-nine thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 3967 11901 27769 35703 43637 83307 130911 249921 305459 392733 916377 2749131