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68317020 = 2235514057
BaseRepresentation
bin1000001001001…
…10111101011100
311202112212100000
410010212331130
5114442121040
610440134300
71456453662
oct404467534
9152485300
1068317020
1135621652
121aa67390
13111cc795
149104c32
155ee7130
hex4126f5c

68317020 has 72 divisors (see below), whose sum is σ = 214918704. Its totient is φ = 18216576.

The previous prime is 68317009. The next prime is 68317031. The reversal of 68317020 is 2071386.

It is an interprime number because it is at equal distance from previous prime (68317009) and next prime (68317031).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2169 + ... + 11888.

It is an arithmetic number, because the mean of its divisors is an integer number (2984982).

Almost surely, 268317020 is an apocalyptic number.

68317020 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 68317020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107459352).

68317020 is an abundant number, since it is smaller than the sum of its proper divisors (146601684).

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

68317020 is a wasteful number, since it uses less digits than its factorization.

68317020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68317020 is about 8265.4110605583. The cubic root of 68317020 is about 408.7988242326.

The spelling of 68317020 in words is "sixty-eight million, three hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 14057 28114 42171 56228 70285 84342 126513 140570 168684 210855 253026 281140 379539 421710 506052 632565 759078 843420 1138617 1265130 1518156 1897695 2277234 2530260 3415851 3795390 4554468 5693085 6831702 7590780 11386170 13663404 17079255 22772340 34158510 68317020