Search a number
-
+
6800896 = 2937359
BaseRepresentation
bin11001111100011000000000
3110210112002001
4121330120000
53220112041
6401433344
7111543454
oct31743000
913715061
106800896
113925683
12233b854
1315416cb
14c90664
158e5131
hex67c600

6800896 has 40 divisors (see below), whose sum is σ = 13994640. Its totient is φ = 3299328.

The previous prime is 6800891. The next prime is 6800903. The reversal of 6800896 is 6980086.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800891) 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, 18765 + ... + 19123.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 26800896 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 6800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

6800896 is an abundant number, since it is smaller than the sum of its proper divisors (7193744).

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

6800896 is an equidigital number, since it uses as much as digits as its factorization.

6800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 6800896 is about 2607.8527565796. The cubic root of 6800896 is about 189.4619681731.

The spelling of 6800896 in words is "six million, eight hundred thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 359 512 592 718 1184 1436 2368 2872 4736 5744 9472 11488 13283 18944 22976 26566 45952 53132 91904 106264 183808 212528 425056 850112 1700224 3400448 6800896