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678048680 = 235372411901
BaseRepresentation
bin101000011010100…
…011001110101000
31202020212102221002
4220122203032220
52342040024210
6151140534132
722542214211
oct5032431650
91666772832
10678048680
11318817011
1216b0b1348
13aa624a4a
14660a2408
153e7d84a5
hex286a33a8

678048680 has 64 divisors (see below), whose sum is σ = 1574171280. Its totient is φ = 262656000.

The previous prime is 678048667. The next prime is 678048697. The reversal of 678048680 is 86840876.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 367795684 + 310252996 = 19178^2 + 17614^2 .

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 15 ways as a sum of consecutive naturals, for example, 355730 + ... + 357630.

Almost surely, 2678048680 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 678048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787085640).

678048680 is an abundant number, since it is smaller than the sum of its proper divisors (896122600).

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

678048680 is a wasteful number, since it uses less digits than its factorization.

678048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 678048680 is about 26039.3678878732. The cubic root of 678048680 is about 878.5239891920.

The spelling of 678048680 in words is "six hundred seventy-eight million, forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 241 296 370 482 740 964 1205 1480 1901 1928 2410 3802 4820 7604 8917 9505 9640 15208 17834 19010 35668 38020 44585 70337 71336 76040 89170 140674 178340 281348 351685 356680 458141 562696 703370 916282 1406740 1832564 2290705 2813480 3665128 4581410 9162820 16951217 18325640 33902434 67804868 84756085 135609736 169512170 339024340 678048680