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678390460 = 225115373797
BaseRepresentation
bin101000011011110…
…110101010111100
31202021111210202121
4220123312222330
52342131443320
6151152132324
722545136516
oct5033665274
91667453677
10678390460
11318a2a880
1216b2370a4
13aa714497
1466150bb6
153e8548aa
hex286f6abc

678390460 has 96 divisors (see below), whose sum is σ = 1607159232. Its totient is φ = 238417920.

The previous prime is 678390431. The next prime is 678390463. The reversal of 678390460 is 64093876.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678390463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850782 + ... + 851578.

It is an arithmetic number, because the mean of its divisors is an integer number (16741242).

Almost surely, 2678390460 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 678390460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803579616).

678390460 is an abundant number, since it is smaller than the sum of its proper divisors (928768772).

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

678390460 is a wasteful number, since it uses less digits than its factorization.

678390460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 678390460 is about 26045.9298163840. The cubic root of 678390460 is about 878.6715751995.

The spelling of 678390460 in words is "six hundred seventy-eight million, three hundred ninety thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 73 106 110 146 212 220 265 292 365 530 583 730 797 803 1060 1166 1460 1594 1606 2332 2915 3188 3212 3869 3985 4015 5830 7738 7970 8030 8767 11660 15476 15940 16060 17534 19345 35068 38690 42241 42559 43835 58181 77380 84482 85118 87670 116362 168964 170236 175340 211205 212795 232724 290905 422410 425590 464651 581810 639991 844820 851180 929302 1163620 1279982 1858604 2323255 2559964 3083593 3199955 4646510 6167186 6399910 9293020 12334372 12799820 15417965 30835930 33919523 61671860 67839046 135678092 169597615 339195230 678390460