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5680256 = 27199223
BaseRepresentation
bin10101101010110010000000
3101200120211212
4111222302000
52423232011
6321425252
766165341
oct25526200
911616755
105680256
11322a72a
121a9b228
13123b5ca
14a7c0c8
1577308b
hex56ac80

5680256 has 32 divisors (see below), whose sum is σ = 11424000. Its totient is φ = 2813184.

The previous prime is 5680253. The next prime is 5680289. The reversal of 5680256 is 6520865.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5680253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25361 + ... + 25583.

It is an arithmetic number, because the mean of its divisors is an integer number (357000).

Almost surely, 25680256 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 5680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712000).

5680256 is an abundant number, since it is smaller than the sum of its proper divisors (5743744).

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

5680256 is a wasteful number, since it uses less digits than its factorization.

5680256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5680256 is about 2383.3287645644. The cubic root of 5680256 is about 178.4251085736.

The spelling of 5680256 in words is "five million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 199 223 398 446 796 892 1592 1784 3184 3568 6368 7136 12736 14272 25472 28544 44377 88754 177508 355016 710032 1420064 2840128 5680256