Search a number
-
+
2712125 = 53131669
BaseRepresentation
bin1010010110001000111101
312002210100002
422112020331
51143242000
6134044045
732024033
oct12261075
95083302
102712125
111592729
12aa9625
1373c610
14508553
153888d5
hex29623d

2712125 has 16 divisors (see below), whose sum is σ = 3647280. Its totient is φ = 2001600.

The previous prime is 2712119. The next prime is 2712131. The reversal of 2712125 is 5212172.

2712125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2712119) and next prime (2712131).

It can be written as a sum of positive squares in 8 ways, for example, as 1352569 + 1359556 = 1163^2 + 1166^2 .

It is not a de Polignac number, because 2712125 - 220 = 1663549 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2712097 and 2712106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (227955).

22712125 is an apocalyptic number.

2712125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2712125 is a deficient number, since it is larger than the sum of its proper divisors (935155).

2712125 is a wasteful number, since it uses less digits than its factorization.

2712125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1687 counting only the distinct ones).

The product of its digits is 280, while the sum is 20.

The square root of 2712125 is about 1646.8530596261. The cubic root of 2712125 is about 139.4557954860.

Adding to 2712125 its reverse (5212172), we get a palindrome (7924297).

The spelling of 2712125 in words is "two million, seven hundred twelve thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 1669 8345 21697 41725 108485 208625 542425 2712125