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681045568 = 26717223401
BaseRepresentation
bin101000100101111…
…110111001000000
31202110111200212221
4220211332321000
52343321424233
6151325100424
722606535410
oct5045767100
91673450787
10681045568
1131a483685
121700b7714
13ab133b58
1466642640
153ebcb42d
hex2897ee40

681045568 has 112 divisors (see below), whose sum is σ = 1646797824. Its totient is φ = 272793600.

The previous prime is 681045559. The next prime is 681045577. The reversal of 681045568 is 865540186.

It is an interprime number because it is at equal distance from previous prime (681045559) and next prime (681045577).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698168 + ... + 1698568.

It is an arithmetic number, because the mean of its divisors is an integer number (14703552).

Almost surely, 2681045568 is an apocalyptic number.

681045568 is a gapful number since it is divisible by the number (68) 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 681045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823398912).

681045568 is an abundant number, since it is smaller than the sum of its proper divisors (965752256).

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

681045568 is a wasteful number, since it uses less digits than its factorization.

681045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 681045568 is about 26096.8497715720. The cubic root of 681045568 is about 879.8164079813.

It can be divided in two parts, 68 and 1045568, that multiplied together give a square (71098624 = 84322).

The spelling of 681045568 in words is "six hundred eighty-one million, forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 223 224 238 272 401 446 448 476 544 802 892 952 1088 1561 1604 1784 1904 2807 3122 3208 3568 3791 3808 5614 6244 6416 6817 7136 7582 7616 11228 12488 12832 13634 14272 15164 22456 24976 25664 26537 27268 30328 44912 47719 49952 53074 54536 60656 89423 89824 95438 99904 106148 109072 121312 178846 179648 190876 212296 218144 242624 357692 381752 424592 436288 625961 715384 763504 849184 1251922 1430768 1520191 1527008 1698368 2503844 2861536 3040382 3054016 5007688 5723072 6080764 10015376 10641337 12161528 20030752 21282674 24323056 40061504 42565348 48646112 85130696 97292224 170261392 340522784 681045568