Search a number
-
+
6868600 = 235261563
BaseRepresentation
bin11010001100111001111000
3110220221221121
4122030321320
53224243400
6403115024
7112245034
oct32147170
913827847
106868600
113971532
122372a74
13156647b
14cab1c4
1590a21a
hex68ce78

6868600 has 48 divisors (see below), whose sum is σ = 16260120. Its totient is φ = 2697600.

The previous prime is 6868597. The next prime is 6868613. The reversal of 6868600 is 68686.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11919 + ... + 12481.

Almost surely, 26868600 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 6868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130060).

6868600 is an abundant number, since it is smaller than the sum of its proper divisors (9391520).

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

6868600 is a wasteful number, since it uses less digits than its factorization.

6868600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6868600 is about 2620.8014041510. The cubic root of 6868600 is about 190.0886013360.

Multiplying 6868600 by its reverse (68686), we get a square (471776659600 = 6868602).

6868600 divided by its reverse (68686) gives a square (100 = 102).

The spelling of 6868600 in words is "six million, eight hundred sixty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 563 610 1126 1220 1525 2252 2440 2815 3050 4504 5630 6100 11260 12200 14075 22520 28150 34343 56300 68686 112600 137372 171715 274744 343430 686860 858575 1373720 1717150 3434300 6868600