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68308200 = 233252137277
BaseRepresentation
bin1000001001001…
…00110011101000
311202112102020100
410010210303220
5114441330300
610440025400
71456416162
oct404446350
9152472210
1068308200
1135615a64
121aa62260
13111c876c
149101932
155ee4700
hex4124ce8

68308200 has 144 divisors (see below), whose sum is σ = 231910380. Its totient is φ = 18017280.

The previous prime is 68308199. The next prime is 68308213. The reversal of 68308200 is 280386.

It can be written as a sum of positive squares in 6 ways, for example, as 16208676 + 52099524 = 4026^2 + 7218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246462 + ... + 246738.

Almost surely, 268308200 is an apocalyptic number.

68308200 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 68308200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115955190).

68308200 is an abundant number, since it is smaller than the sum of its proper divisors (163602180).

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

68308200 is a wasteful number, since it uses less digits than its factorization.

68308200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68308200 is about 8264.8774945549. The cubic root of 68308200 is about 408.7812309555.

Adding to 68308200 its reverse (280386), we get a palindrome (68588586).

The spelling of 68308200 in words is "sixty-eight million, three hundred eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 137 150 180 200 225 274 277 300 360 411 450 548 554 600 685 822 831 900 1096 1108 1233 1370 1385 1644 1662 1800 2055 2216 2466 2493 2740 2770 3288 3324 3425 4110 4155 4932 4986 5480 5540 6165 6648 6850 6925 8220 8310 9864 9972 10275 11080 12330 12465 13700 13850 16440 16620 19944 20550 20775 24660 24930 27400 27700 30825 33240 37949 41100 41550 49320 49860 55400 61650 62325 75898 82200 83100 99720 113847 123300 124650 151796 166200 189745 227694 246600 249300 303592 341541 379490 455388 498600 569235 683082 758980 910776 948725 1138470 1366164 1517960 1707705 1897450 2276940 2732328 2846175 3415410 3794900 4553880 5692350 6830820 7589800 8538525 11384700 13661640 17077050 22769400 34154100 68308200