Search a number
-
+
2746180 = 2251741197
BaseRepresentation
bin1010011110011101000100
312011112001101
422132131010
51200334210
6134505444
732225233
oct12363504
95145041
102746180
111606278
12b05284
13751c78
14516b1a
15393a3a
hex29e744

2746180 has 48 divisors (see below), whose sum is σ = 6286896. Its totient is φ = 1003520.

The previous prime is 2746169. The next prime is 2746181. The reversal of 2746180 is 816472.

2746180 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 8 ways, for example, as 36864 + 2709316 = 192^2 + 1646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746181) by changing a digit.

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, 13842 + ... + 14038.

It is an arithmetic number, because the mean of its divisors is an integer number (130977).

22746180 is an apocalyptic number.

2746180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2746180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143448).

2746180 is an abundant number, since it is smaller than the sum of its proper divisors (3540716).

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

2746180 is a wasteful number, since it uses less digits than its factorization.

2746180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2746180 is about 1657.1602215839. The cubic root of 2746180 is about 140.0370650161.

It can be divided in two parts, 2746 and 180, that added together give a triangular number (2926 = T76).

The spelling of 2746180 in words is "two million, seven hundred forty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 197 205 340 394 410 697 788 820 985 1394 1970 2788 3349 3485 3940 6698 6970 8077 13396 13940 16154 16745 32308 33490 40385 66980 80770 137309 161540 274618 549236 686545 1373090 2746180