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687131920 = 2458589149
BaseRepresentation
bin101000111101001…
…100110100010000
31202212221220210101
4220331030310100
52401401210140
6152103342144
723012345026
oct5075146420
91685856711
10687131920
11322960422
12172151954
13ac485247
1467388716
15404ce99a
hex28f4cd10

687131920 has 20 divisors (see below), whose sum is σ = 1597581900. Its totient is φ = 274852736.

The previous prime is 687131911. The next prime is 687131933. The reversal of 687131920 is 29131786.

It can be written as a sum of positive squares in 2 ways, for example, as 373416976 + 313714944 = 19324^2 + 17712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 687131920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4294495 + ... + 4294654.

It is an arithmetic number, because the mean of its divisors is an integer number (79879095).

Almost surely, 2687131920 is an apocalyptic number.

It is an amenable number.

687131920 is an abundant number, since it is smaller than the sum of its proper divisors (910449980).

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

687131920 is a wasteful number, since it uses less digits than its factorization.

687131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589162 (or 8589156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 687131920 is about 26213.2012543298. The cubic root of 687131920 is about 882.4295465481.

The spelling of 687131920 in words is "six hundred eighty-seven million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8589149 17178298 34356596 42945745 68713192 85891490 137426384 171782980 343565960 687131920