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68355840 = 283572543
BaseRepresentation
bin1000001001100…
…00011100000000
311202121211120210
410010300130000
5114444341330
610441034120
71460005110
oct404603400
9152554523
1068355840
1135648833
121aa85940
1311214357
149115040
1560038b0
hex4130700

68355840 has 144 divisors (see below), whose sum is σ = 249596928. Its totient is φ = 15618048.

The previous prime is 68355823. The next prime is 68355869. The reversal of 68355840 is 4855386.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25609 + ... + 28151.

It is an arithmetic number, because the mean of its divisors is an integer number (1733312).

Almost surely, 268355840 is an apocalyptic number.

68355840 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 68355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798464).

68355840 is an abundant number, since it is smaller than the sum of its proper divisors (181241088).

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

68355840 is a wasteful number, since it uses less digits than its factorization.

68355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 68355840 is about 8267.7590676071. The cubic root of 68355840 is about 408.8762405945.

The spelling of 68355840 in words is "sixty-eight million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2543 2688 3360 3840 4480 5086 5376 6720 7629 8960 10172 12715 13440 15258 17801 20344 25430 26880 30516 35602 38145 40688 50860 53403 61032 71204 76290 81376 89005 101720 106806 122064 142408 152580 162752 178010 203440 213612 244128 267015 284816 305160 325504 356020 406880 427224 488256 534030 569632 610320 651008 712040 813760 854448 976512 1068060 1139264 1220640 1424080 1627520 1708896 1953024 2136120 2278528 2441280 2848160 3255040 3417792 4272240 4557056 4882560 5696320 6835584 8544480 9765120 11392640 13671168 17088960 22785280 34177920 68355840