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687055720 = 235134330727
BaseRepresentation
bin101000111100111…
…010001101101000
31202212211001021011
4220330322031220
52401341240340
6152101553304
723011606621
oct5074721550
91685731234
10687055720
1132290914a
12172115834
13ac459660
1467368a48
15404b70ea
hex28f3a368

687055720 has 64 divisors (see below), whose sum is σ = 1703560320. Its totient is φ = 247774464.

The previous prime is 687055651. The next prime is 687055727. The reversal of 687055720 is 27550786.

687055720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (687055727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6997 + ... + 37723.

It is an arithmetic number, because the mean of its divisors is an integer number (26618130).

Almost surely, 2687055720 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 687055720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851780160).

687055720 is an abundant number, since it is smaller than the sum of its proper divisors (1016504600).

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

687055720 is a wasteful number, since it uses less digits than its factorization.

687055720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30794 (or 30790 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 687055720 is about 26211.7477479088. The cubic root of 687055720 is about 882.3969261176.

The spelling of 687055720 in words is "six hundred eighty-seven million, fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 22360 30727 61454 122908 153635 245816 307270 399451 614540 798902 1229080 1321261 1597804 1997255 2642522 3195608 3994510 5285044 6606305 7989020 10570088 13212610 15978040 17176393 26425220 34352786 52850440 68705572 85881965 137411144 171763930 343527860 687055720