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68686000 = 245361563
BaseRepresentation
bin1000001100000…
…01000010110000
311210020121110221
410012001002300
5120040423000
610452102424
71462551505
oct406010260
9153217427
1068686000
1135853899
121b004a14
13112cb706
14919d4ac
15606b61a
hex41810b0

68686000 has 80 divisors (see below), whose sum is σ = 169105248. Its totient is φ = 26976000.

The previous prime is 68685989. The next prime is 68686019. The reversal of 68686000 is 68686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 121719 + ... + 122281.

Almost surely, 268686000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84552624).

68686000 is an abundant number, since it is smaller than the sum of its proper divisors (100419248).

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

68686000 is a wasteful number, since it uses less digits than its factorization.

68686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 68686000 is about 8287.7017320847. The cubic root of 68686000 is about 409.5334768980.

68686000 divided by its reverse (68686) gives a cube (1000 = 103).

The spelling of 68686000 in words is "sixty-eight million, six hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 563 610 976 1000 1126 1220 1525 2000 2252 2440 2815 3050 4504 4880 5630 6100 7625 9008 11260 12200 14075 15250 22520 24400 28150 30500 34343 45040 56300 61000 68686 70375 112600 122000 137372 140750 171715 225200 274744 281500 343430 549488 563000 686860 858575 1126000 1373720 1717150 2747440 3434300 4292875 6868600 8585750 13737200 17171500 34343000 68686000