Search a number
-
+
5668864 = 215173
BaseRepresentation
bin10101101000000000000000
3101200000012221
4111220000000
52422400424
6321300424
766120205
oct25500000
911600187
105668864
113222113
121a94714
131236376
14a77cac
1576e9e4
hex568000

5668864 has 32 divisors (see below), whose sum is σ = 11403090. Its totient is φ = 2818048.

The previous prime is 5668829. The next prime is 5668867. The reversal of 5668864 is 4688665.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 1982464 = 1920^2 + 1408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5668864.

It is not an unprimeable number, because it can be changed into a prime (5668867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32682 + ... + 32854.

Almost surely, 25668864 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 5668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701545).

5668864 is an abundant number, since it is smaller than the sum of its proper divisors (5734226).

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

5668864 is an frugal number, since it uses more digits than its factorization.

5668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 5668864 is about 2380.9376304305. The cubic root of 5668864 is about 178.3057489774.

The spelling of 5668864 in words is "five million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2048 2768 4096 5536 8192 11072 16384 22144 32768 44288 88576 177152 354304 708608 1417216 2834432 5668864