Search a number
-
+
2682468 = 2232269277
BaseRepresentation
bin1010001110111001100100
312001021122200
422032321210
51141314333
6133254500
731541415
oct12167144
95037580
102682468
111572418
12a94430
1372bc79
144db80c
1537ec13
hex28ee64

2682468 has 36 divisors (see below), whose sum is σ = 6830460. Its totient is φ = 887616.

The previous prime is 2682457. The next prime is 2682497. The reversal of 2682468 is 8642862.

2682468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 2377764 = 552^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 9546 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (189735).

22682468 is an apocalyptic number.

It is an amenable number.

2682468 is an abundant number, since it is smaller than the sum of its proper divisors (4147992).

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

2682468 is a wasteful number, since it uses less digits than its factorization.

2682468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2682468 is about 1637.8241663866. The cubic root of 2682468 is about 138.9456164597.

The spelling of 2682468 in words is "two million, six hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 269 277 538 554 807 831 1076 1108 1614 1662 2421 2493 3228 3324 4842 4986 9684 9972 74513 149026 223539 298052 447078 670617 894156 1341234 2682468