Search a number
-
+
2161764 = 22321153103
BaseRepresentation
bin1000001111110001100100
311001211101100
420033301210
51023134024
6114200100
724242343
oct10176144
94054340
102161764
111247190
12883030
135a8c67
14403b5a
152ca7c9
hex20fc64

2161764 has 72 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 636480.

The previous prime is 2161759. The next prime is 2161769. The reversal of 2161764 is 4671612.

2161764 is digitally balanced in base 5, 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 (2161759) and next prime (2161769).

It is not an unprimeable number, because it can be changed into a prime (2161769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20937 + ... + 21039.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

22161764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2161764 is an abundant number, since it is smaller than the sum of its proper divisors (3970908).

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

2161764 is a wasteful number, since it uses less digits than its factorization.

2161764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2161764 is about 1470.2938481814. The cubic root of 2161764 is about 129.3012609269.

The spelling of 2161764 in words is "two million, one hundred sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 103 106 132 159 198 206 212 309 318 396 412 477 583 618 636 927 954 1133 1166 1236 1749 1854 1908 2266 2332 3399 3498 3708 4532 5247 5459 6798 6996 10197 10494 10918 13596 16377 20394 20988 21836 32754 40788 49131 60049 65508 98262 120098 180147 196524 240196 360294 540441 720588 1080882 2161764