Search a number
-
+
68284680 = 23354113879
BaseRepresentation
bin1000001000111…
…11000100001000
311202111012222020
410010133010020
5114440102210
610435324440
71456260462
oct404370410
9152435866
1068284680
11355aa322
121aa50720
13111bab49
1490d7132
155edc770
hex411f108

68284680 has 64 divisors (see below), whose sum is σ = 209865600. Its totient is φ = 17763840.

The previous prime is 68284679. The next prime is 68284691. The reversal of 68284680 is 8648286.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2020 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (3279150).

Almost surely, 268284680 is an apocalyptic number.

68284680 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 68284680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104932800).

68284680 is an abundant number, since it is smaller than the sum of its proper divisors (141580920).

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

68284680 is a wasteful number, since it uses less digits than its factorization.

68284680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 68284680 is about 8263.4544834470. The cubic root of 68284680 is about 408.7343081445.

The spelling of 68284680 in words is "sixty-eight million, two hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 13879 27758 41637 55516 69395 83274 111032 138790 166548 208185 277580 333096 416370 555160 569039 832740 1138078 1665480 1707117 2276156 2845195 3414234 4552312 5690390 6828468 8535585 11380780 13656936 17071170 22761560 34142340 68284680