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6880000 = 285443
BaseRepresentation
bin11010001111101100000000
3110221112120211
4122033230000
53230130000
6403243504
7112323211
oct32175400
913845524
106880000
11397a056
122379594
13156b70a
14cb1408
1590d7ba
hex68fb00

6880000 has 90 divisors (see below), whose sum is σ = 17560004. Its totient is φ = 2688000.

The previous prime is 6879997. The next prime is 6880009. The reversal of 6880000 is 886.

6880000 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (6880009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159979 + ... + 160021.

Almost surely, 26880000 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 6880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8780002).

6880000 is an abundant number, since it is smaller than the sum of its proper divisors (10680004).

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

6880000 is an frugal number, since it uses more digits than its factorization.

6880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 6880000 is about 2622.9754097208. The cubic root of 6880000 is about 190.1937082612.

Adding to 6880000 its reverse (886), we get a palindrome (6880886).

The spelling of 6880000 in words is "six million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 128 160 172 200 215 250 256 320 344 400 430 500 625 640 688 800 860 1000 1075 1250 1280 1376 1600 1720 2000 2150 2500 2752 3200 3440 4000 4300 5000 5375 5504 6400 6880 8000 8600 10000 10750 11008 13760 16000 17200 20000 21500 26875 27520 32000 34400 40000 43000 53750 55040 68800 80000 86000 107500 137600 160000 172000 215000 275200 344000 430000 688000 860000 1376000 1720000 3440000 6880000