Search a number
-
+
5682768 = 2437131301
BaseRepresentation
bin10101101011011001010000
3101200201021220
4111223121100
52423322033
6321445040
766205560
oct25533120
911621256
105682768
113231603
121aa0780
13123c7b0
14a7cda0
15773bb3
hex56b650

5682768 has 80 divisors (see below), whose sum is σ = 18082176. Its totient is φ = 1497600.

The previous prime is 5682763. The next prime is 5682773. The reversal of 5682768 is 8672865.

It is an interprime number because it is at equal distance from previous prime (5682763) and next prime (5682773).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682763) 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, 3718 + ... + 5018.

Almost surely, 25682768 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 5682768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041088).

5682768 is an abundant number, since it is smaller than the sum of its proper divisors (12399408).

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

5682768 is a wasteful number, since it uses less digits than its factorization.

5682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 5682768 is about 2383.8557003309. The cubic root of 5682768 is about 178.4514065561.

The spelling of 5682768 in words is "five million, six hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1301 1456 2184 2602 3903 4368 5204 7806 9107 10408 15612 16913 18214 20816 27321 31224 33826 36428 50739 54642 62448 67652 72856 101478 109284 118391 135304 145712 202956 218568 236782 270608 355173 405912 437136 473564 710346 811824 947128 1420692 1894256 2841384 5682768