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68121060 = 22357241673
BaseRepresentation
bin1000000111101…
…11000111100100
311202011220112020
410003313013210
5114414333220
610432023140
71455006450
oct403670744
9152156466
1068121060
11354a83a7
121a991ab0
1311161527
149093660
155ea9040
hex40f71e4

68121060 has 96 divisors (see below), whose sum is σ = 219217152. Its totient is φ = 15482880.

The previous prime is 68121041. The next prime is 68121089. The reversal of 68121060 is 6012186.

It is a self number, because there is not a number n which added to its sum of digits gives 68121060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100884 + ... + 101556.

It is an arithmetic number, because the mean of its divisors is an integer number (2283512).

Almost surely, 268121060 is an apocalyptic number.

68121060 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 68121060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109608576).

68121060 is an abundant number, since it is smaller than the sum of its proper divisors (151096092).

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

68121060 is a wasteful number, since it uses less digits than its factorization.

68121060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 68121060 is about 8253.5483278406. The cubic root of 68121060 is about 408.4075848128.

The spelling of 68121060 in words is "sixty-eight million, one hundred twenty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 241 420 482 673 723 964 1205 1346 1446 1687 2019 2410 2692 2892 3365 3374 3615 4038 4711 4820 5061 6730 6748 7230 8076 8435 9422 10095 10122 13460 14133 14460 16870 18844 20190 20244 23555 25305 28266 33740 40380 47110 50610 56532 70665 94220 101220 141330 162193 282660 324386 486579 648772 810965 973158 1135351 1621930 1946316 2270702 2432895 3243860 3406053 4541404 4865790 5676755 6812106 9731580 11353510 13624212 17030265 22707020 34060530 68121060