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687691820 = 225173835281
BaseRepresentation
bin101000111111010…
…101100000101100
31202221000100211102
4220333111200230
52402022114240
6152123342232
723020166264
oct5077254054
91687010742
10687691820
11323203052
12172381978
13ac62004a
14674927a4
1540590815
hex28fd582c

687691820 has 48 divisors (see below), whose sum is σ = 1533385728. Its totient is φ = 258170880.

The previous prime is 687691799. The next prime is 687691831. The reversal of 687691820 is 28196786.

687691820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 127580 + ... + 132860.

It is an arithmetic number, because the mean of its divisors is an integer number (31945536).

Almost surely, 2687691820 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 687691820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766692864).

687691820 is an abundant number, since it is smaller than the sum of its proper divisors (845693908).

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

687691820 is a wasteful number, since it uses less digits than its factorization.

687691820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 687691820 is about 26223.8788130208. The cubic root of 687691820 is about 882.6691600068.

The spelling of 687691820 in words is "six hundred eighty-seven million, six hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 383 766 1532 1915 3830 5281 6511 7660 10562 13022 21124 26044 26405 32555 52810 65110 89777 105620 130220 179554 359108 448885 897770 1795540 2022623 4045246 8090492 10113115 20226230 34384591 40452460 68769182 137538364 171922955 343845910 687691820