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680933484 = 2232711614027
BaseRepresentation
bin101000100101100…
…011100001101100
31202110022000010200
4220211203201230
52343304332414
6151322433500
722605560550
oct5045434154
91673260120
10680933484
1131a407450
12170062890
13ab0c4b2a
1466613860
153eba8109
hex2896386c

680933484 has 144 divisors (see below), whose sum is σ = 2181693696. Its totient is φ = 173923200.

The previous prime is 680933483. The next prime is 680933537. The reversal of 680933484 is 484339086.

680933484 is a `hidden beast` number, since 6 + 80 + 93 + 3 + 484 = 666.

It is not an unprimeable number, because it can be changed into a prime (680933483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 167079 + ... + 171105.

Almost surely, 2680933484 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 680933484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090846848).

680933484 is an abundant number, since it is smaller than the sum of its proper divisors (1500760212).

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

680933484 is a wasteful number, since it uses less digits than its factorization.

680933484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 680933484 is about 26094.7022209490. The cubic root of 680933484 is about 879.7681396729.

The spelling of 680933484 in words is "six hundred eighty million, nine hundred thirty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 61 63 66 77 84 99 122 126 132 154 183 198 231 244 252 308 366 396 427 462 549 671 693 732 854 924 1098 1281 1342 1386 1708 2013 2196 2562 2684 2772 3843 4026 4027 4697 5124 6039 7686 8052 8054 9394 12078 12081 14091 15372 16108 18788 24156 24162 28182 28189 36243 42273 44297 48324 56364 56378 72486 84546 84567 88594 112756 132891 144972 169092 169134 177188 245647 253701 265782 310079 338268 398673 491294 507402 531564 620158 736941 797346 930237 982588 1014804 1240316 1473882 1594692 1719529 1860474 2210823 2702117 2790711 2947764 3439058 3720948 4421646 5158587 5404234 5581422 6878116 8106351 8843292 10317174 10808468 11162844 15475761 16212702 18914819 20634348 24319053 30951522 32425404 37829638 48638106 56744457 61903044 75659276 97276212 113488914 170233371 226977828 340466742 680933484