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68015040 = 263570849
BaseRepresentation
bin1000000110111…
…01001111000000
311201222112002120
410003131033000
5114402440130
610425444240
71454055402
oct403351700
9151875076
1068015040
1135435785
121a940680
13111251b2
149066b72
155e87910
hex40dd3c0

68015040 has 56 divisors (see below), whose sum is σ = 215950800. Its totient is φ = 18137088.

The previous prime is 68015033. The next prime is 68015053. The reversal of 68015040 is 4051086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 68015040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34465 + ... + 36384.

Almost surely, 268015040 is an apocalyptic number.

68015040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68015040 is an abundant number, since it is smaller than the sum of its proper divisors (147935760).

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

68015040 is a wasteful number, since it uses less digits than its factorization.

68015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70869 (or 70859 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 68015040 is about 8247.1231347665. The cubic root of 68015040 is about 408.1956001758.

The spelling of 68015040 in words is "sixty-eight million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 70849 141698 212547 283396 354245 425094 566792 708490 850188 1062735 1133584 1416980 1700376 2125470 2267168 2833960 3400752 4250940 4534336 5667920 6801504 8501880 11335840 13603008 17003760 22671680 34007520 68015040