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2743125 = 35471119
BaseRepresentation
bin1010011101101101010101
312011100212020
422131231111
51200240000
6134443353
732213310
oct12355525
95140766
102743125
111603a50
12b03559
13750768
14515977
15392ba0
hex29db55

2743125 has 80 divisors (see below), whose sum is σ = 5998080. Its totient is φ = 1080000.

The previous prime is 2743093. The next prime is 2743129. The reversal of 2743125 is 5213472.

It is not a de Polignac number, because 2743125 - 25 = 2743093 is a prime.

Its product of digits (1680) is a multiple of the sum of its prime factors (60).

It is a junction number, because it is equal to n+sod(n) for n = 2743095 and 2743104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743129) 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 79 ways as a sum of consecutive naturals, for example, 144366 + ... + 144384.

It is an arithmetic number, because the mean of its divisors is an integer number (74976).

22743125 is an apocalyptic number.

2743125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2743125 is an abundant number, since it is smaller than the sum of its proper divisors (3254955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2743125 is a wasteful number, since it uses less digits than its factorization.

2743125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 2743125 is about 1656.2382075052. The cubic root of 2743125 is about 139.9851174656.

Adding to 2743125 its reverse (5213472), we get a palindrome (7956597).

The spelling of 2743125 in words is "two million, seven hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 75 77 95 105 125 133 165 175 209 231 275 285 375 385 399 475 525 625 627 665 825 875 1045 1155 1375 1425 1463 1875 1925 1995 2375 2625 3135 3325 4125 4375 4389 5225 5775 6875 7125 7315 9625 9975 11875 13125 15675 16625 20625 21945 26125 28875 35625 36575 48125 49875 78375 83125 109725 130625 144375 182875 249375 391875 548625 914375 2743125