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68195340 = 223252271669
BaseRepresentation
bin1000001000010…
…01010000001100
311202022200102100
410010021100030
5114424222330
610433355100
71455436143
oct404112014
9152280370
1068195340
1135549194
121aa08a90
1311189295
1490b275a
155ec1060
hex410940c

68195340 has 72 divisors (see below), whose sum is σ = 207894960. Its totient is φ = 18094464.

The previous prime is 68195321. The next prime is 68195353. The reversal of 68195340 is 4359186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68195295 and 68195304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40026 + ... + 41694.

It is an arithmetic number, because the mean of its divisors is an integer number (2887430).

Almost surely, 268195340 is an apocalyptic number.

68195340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68195340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103947480).

68195340 is an abundant number, since it is smaller than the sum of its proper divisors (139699620).

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

68195340 is a wasteful number, since it uses less digits than its factorization.

68195340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68195340 is about 8258.0469846084. The cubic root of 68195340 is about 408.5559750250. Note that the first 3 decimals are identical.

The spelling of 68195340 in words is "sixty-eight million, one hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 1669 2043 2270 2724 3338 3405 4086 4540 5007 6676 6810 8172 8345 10014 10215 13620 15021 16690 20028 20430 25035 30042 33380 40860 50070 60084 75105 100140 150210 300420 378863 757726 1136589 1515452 1894315 2273178 3409767 3788630 4546356 5682945 6819534 7577260 11365890 13639068 17048835 22731780 34097670 68195340