Search a number
-
+
68791900 = 2252719689
BaseRepresentation
bin1000001100110…
…10111001011100
311210102222202011
410012122321130
5120102320100
610454241004
71463502322
oct406327134
9153388664
1068791900
1135916411
121b056164
1311337988
1491c9d12
15608cbba
hex419ae5c

68791900 has 36 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 27126400.

The previous prime is 68791889. The next prime is 68791901. The reversal of 68791900 is 919786.

It is a super-2 number, since 2×687919002 = 9464651011220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68791901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2256 + ... + 11944.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

It is a vampire number, since it can be written as 71009689 (with its own digits).

Almost surely, 268791900 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 68791900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

68791900 is an abundant number, since it is smaller than the sum of its proper divisors (82604660).

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

68791900 is a wasteful number, since it uses less digits than its factorization.

68791900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 68791900 is about 8294.0882561015. The cubic root of 68791900 is about 409.7438415779.

The spelling of 68791900 in words is "sixty-eight million, seven hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 9689 19378 38756 48445 96890 193780 242225 484450 687919 968900 1375838 2751676 3439595 6879190 13758380 17197975 34395950 68791900