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678680240 = 24575092381
BaseRepresentation
bin101000011100111…
…101011010110000
31202022001112021012
4220130331122300
52342220231430
6151202250052
722550454410
oct5034753260
91668045235
10678680240
11319108567
1216b356928
13aa7b6354
14661c8640
153e8b0695
hex2873d6b0

678680240 has 80 divisors (see below), whose sum is σ = 1807652160. Its totient is φ = 232135680.

The previous prime is 678680237. The next prime is 678680279. The reversal of 678680240 is 42086876.

678680240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 283850 + ... + 286230.

It is an arithmetic number, because the mean of its divisors is an integer number (22595652).

Almost surely, 2678680240 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 678680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903826080).

678680240 is an abundant number, since it is smaller than the sum of its proper divisors (1128971920).

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

678680240 is a wasteful number, since it uses less digits than its factorization.

678680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 678680240 is about 26051.4920877864. The cubic root of 678680240 is about 878.7966679586.

The spelling of 678680240 in words is "six hundred seventy-eight million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 509 560 1018 2036 2381 2545 3563 4072 4762 5090 7126 8144 9524 10180 11905 14252 16667 17815 19048 20360 23810 28504 33334 35630 38096 40720 47620 57008 66668 71260 83335 95240 133336 142520 166670 190480 266672 285040 333340 666680 1211929 1333360 2423858 4847716 6059645 8483503 9695432 12119290 16967006 19390864 24238580 33934012 42417515 48477160 67868024 84835030 96954320 135736048 169670060 339340120 678680240