Search a number
-
+
687313120 = 25513330439
BaseRepresentation
bin101000111101111…
…001000011100000
31202220022010100111
4220331321003200
52401423004440
6152111301104
723014031224
oct5075710340
91686263314
10687313120
11322a7457a
1217221a794
13ac519870
14673d4784
15405184ea
hex28f790e0

687313120 has 48 divisors (see below), whose sum is σ = 1748688480. Its totient is φ = 253776384.

The previous prime is 687313069. The next prime is 687313127. The reversal of 687313120 is 21313786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687313127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163140 + ... + 167299.

It is an arithmetic number, because the mean of its divisors is an integer number (36431010).

Almost surely, 2687313120 is an apocalyptic number.

It is an amenable number.

687313120 is an abundant number, since it is smaller than the sum of its proper divisors (1061375360).

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

687313120 is a wasteful number, since it uses less digits than its factorization.

687313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330467 (or 330459 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 687313120 is about 26216.6573002738. The cubic root of 687313120 is about 882.5071067061.

The spelling of 687313120 in words is "six hundred eighty-seven million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 330439 660878 1321756 1652195 2643512 3304390 4295707 5287024 6608780 8591414 10574048 13217560 17182828 21478535 26435120 34365656 42957070 52870240 68731312 85914140 137462624 171828280 343656560 687313120