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680763840 = 26353172237
BaseRepresentation
bin101000100100111…
…010000111000000
31202102222101102120
4220210322013000
52343233420330
6151315044240
722604253141
oct5044720700
91672871376
10680763840
1131a300a49
1216bba0680
13ab065853
14665abac8
153eb72c10
hex2893a1c0

680763840 has 112 divisors (see below), whose sum is σ = 2169212832. Its totient is φ = 180883456.

The previous prime is 680763817. The next prime is 680763841. The reversal of 680763840 is 48367086.

It is a junction number, because it is equal to n+sod(n) for n = 680763792 and 680763801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680763841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303202 + ... + 305438.

Almost surely, 2680763840 is an apocalyptic number.

680763840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084606416).

680763840 is an abundant number, since it is smaller than the sum of its proper divisors (1488448992).

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

680763840 is a wasteful number, since it uses less digits than its factorization.

680763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 680763840 is about 26091.4514736149. The cubic root of 680763840 is about 879.6950734162.

The spelling of 680763840 in words is "six hundred eighty million, seven hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 317 320 480 634 951 960 1268 1585 1902 2237 2536 3170 3804 4474 4755 5072 6340 6711 7608 8948 9510 10144 11185 12680 13422 15216 17896 19020 20288 22370 25360 26844 30432 33555 35792 38040 44740 50720 53688 60864 67110 71584 76080 89480 101440 107376 134220 143168 152160 178960 214752 268440 304320 357920 429504 536880 709129 715840 1073760 1418258 2127387 2147520 2836516 3545645 4254774 5673032 7091290 8509548 10636935 11346064 14182580 17019096 21273870 22692128 28365160 34038192 42547740 45384256 56730320 68076384 85095480 113460640 136152768 170190960 226921280 340381920 680763840