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68335200 = 2532529491
BaseRepresentation
bin1000001001010…
…11011001100000
311202120210021100
410010223121200
5114443211300
610440354400
71456560663
oct404533140
9152523240
1068335200
113563427a
121aa75a00
1311207b3b
14910b6da
155eec700
hex412b660

68335200 has 108 divisors (see below), whose sum is σ = 240992388. Its totient is φ = 18220800.

The previous prime is 68335187. The next prime is 68335217. The reversal of 68335200 is 253386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2455 + ... + 11945.

It is an arithmetic number, because the mean of its divisors is an integer number (2231411).

Almost surely, 268335200 is an apocalyptic number.

68335200 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 68335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120496194).

68335200 is an abundant number, since it is smaller than the sum of its proper divisors (172657188).

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

68335200 is a wasteful number, since it uses less digits than its factorization.

68335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 68335200 is about 8266.5107512178. The cubic root of 68335200 is about 408.8350831497.

Adding to 68335200 its reverse (253386), we get a palindrome (68588586).

The spelling of 68335200 in words is "sixty-eight million, three hundred thirty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 9491 18982 28473 37964 47455 56946 75928 85419 94910 113892 142365 151856 170838 189820 227784 237275 284730 303712 341676 379640 427095 455568 474550 569460 683352 711825 759280 854190 911136 949100 1138920 1366704 1423650 1518560 1708380 1898200 2135475 2277840 2733408 2847300 3416760 3796400 4270950 4555680 5694600 6833520 7592800 8541900 11389200 13667040 17083800 22778400 34167600 68335200