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681705760 = 25537115153
BaseRepresentation
bin101000101000100…
…000000100100000
31202111202020111111
4220220200010200
52344004041020
6151351153104
722615255231
oct5050400440
91674666444
10681705760
1131a89469a
12170375794
13ab3054b8
1466775088
153ecabd5a
hex28a20120

681705760 has 48 divisors (see below), whose sum is σ = 1654072056. Its totient is φ = 265310208.

The previous prime is 681705757. The next prime is 681705793. The reversal of 681705760 is 67507186.

It can be written as a sum of positive squares in 4 ways, for example, as 674544784 + 7160976 = 25972^2 + 2676^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51657 + ... + 63496.

Almost surely, 2681705760 is an apocalyptic number.

It is an amenable number.

681705760 is an abundant number, since it is smaller than the sum of its proper divisors (972366296).

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

681705760 is a wasteful number, since it uses less digits than its factorization.

681705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115205 (or 115197 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 681705760 is about 26109.4955906850. The cubic root of 681705760 is about 880.1006083320.

The spelling of 681705760 in words is "six hundred eighty-one million, seven hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 115153 230306 460612 575765 921224 1151530 1842448 2303060 3684896 4260661 4606120 8521322 9212240 17042644 18424480 21303305 34085288 42606610 68170576 85213220 136341152 170426440 340852880 681705760