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680543248 = 2471131103173
BaseRepresentation
bin101000100100000…
…100010000010000
31202102120011211111
4220210010100100
52343204340443
6151310223104
722602344050
oct5044042020
91672504744
10680543248
1131a170240
1216bab4a94
13aacb9318
1466551560
153eb2c69d
hex28904410

680543248 has 160 divisors (see below), whose sum is σ = 1723318272. Its totient is φ = 252633600.

The previous prime is 680543243. The next prime is 680543263. The reversal of 680543248 is 842345086.

It is a super-2 number, since 2×6805432482 = 926278224796779008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 680543248.

It is not an unprimeable number, because it can be changed into a prime (680543243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3933690 + ... + 3933862.

Almost surely, 2680543248 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 680543248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861659136).

680543248 is an abundant number, since it is smaller than the sum of its proper divisors (1042775024).

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

680543248 is a wasteful number, since it uses less digits than its factorization.

680543248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 680543248 is about 26087.2238461665. The cubic root of 680543248 is about 879.6000455235.

The spelling of 680543248 in words is "six hundred eighty million, five hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 103 112 124 154 173 176 206 217 248 308 341 346 412 434 496 616 682 692 721 824 868 1133 1211 1232 1364 1384 1442 1648 1736 1903 2266 2387 2422 2728 2768 2884 3193 3472 3806 4532 4774 4844 5363 5456 5768 6386 7612 7931 9064 9548 9688 10726 11536 12772 13321 15224 15862 17819 18128 19096 19376 21452 22351 25544 26642 30448 31724 35123 35638 37541 38192 42904 44702 51088 53284 58993 63448 70246 71276 75082 85808 89404 106568 117986 124733 126896 140492 142552 150164 178808 196009 213136 235972 245861 249466 280984 285104 300328 357616 392018 412951 471944 491722 498932 552389 561968 600656 784036 825902 943888 983444 997864 1104778 1372063 1568072 1651804 1966888 1995728 2209556 2744126 3136144 3303608 3866723 3933776 4419112 5488252 6076279 6607216 7733446 8838224 10976504 12152558 15466892 21953008 24305116 30933784 42533953 48610232 61867568 85067906 97220464 170135812 340271624 680543248