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688710096 = 243229831987
BaseRepresentation
bin101001000011001…
…110000111010000
31202222221002122100
4221003032013100
52402302210341
6152201240400
723031640104
oct5103160720
91688832570
10688710096
113238390a8
12172793100
13ac8b8689
1467679904
15406e23b6
hex290ce1d0

688710096 has 120 divisors (see below), whose sum is σ = 2018933280. Its totient is φ = 218873088.

The previous prime is 688710089. The next prime is 688710109. The reversal of 688710096 is 690017886.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345615 + ... + 347601.

It is an arithmetic number, because the mean of its divisors is an integer number (16824444).

Almost surely, 2688710096 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 688710096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009466640).

688710096 is an abundant number, since it is smaller than the sum of its proper divisors (1330223184).

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

688710096 is a wasteful number, since it uses less digits than its factorization.

688710096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 688710096 is about 26243.2866844075. The cubic root of 688710096 is about 883.1046058161.

The spelling of 688710096 in words is "six hundred eighty-eight million, seven hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 83 87 116 144 166 174 232 249 261 332 348 464 498 522 664 696 747 996 1044 1328 1392 1494 1987 1992 2088 2407 2988 3974 3984 4176 4814 5961 5976 7221 7948 9628 11922 11952 14442 15896 17883 19256 21663 23844 28884 31792 35766 38512 43326 47688 57623 57768 71532 86652 95376 115246 115536 143064 164921 172869 173304 230492 286128 329842 345738 346608 460984 494763 518607 659684 691476 921968 989526 1037214 1319368 1382952 1484289 1979052 2074428 2638736 2765904 2968578 3958104 4148856 4782709 5937156 7916208 8297712 9565418 11874312 14348127 19130836 23748624 28696254 38261672 43044381 57392508 76523344 86088762 114785016 172177524 229570032 344355048 688710096