Base | Representation |
---|---|
bin | 101000111110111… |
… | …111011000000000 |
3 | 1202220211202110100 |
4 | 220332333120000 |
5 | 2402011214102 |
6 | 152121402400 |
7 | 23016341040 |
oct | 5076773000 |
9 | 1686752410 |
10 | 687601152 |
11 | 323150a17 |
12 | 172339400 |
13 | ac5ba9b4 |
14 | 6746b720 |
15 | 40573a1c |
hex | 28fbf600 |
687601152 has 120 divisors (see below), whose sum is σ = 2268064656. Its totient is φ = 196448256.
The previous prime is 687601151. The next prime is 687601181. The reversal of 687601152 is 251106786.
687601152 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 (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (687601151) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21598 + ... + 42914.
Almost surely, 2687601152 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 687601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134032328).
687601152 is an abundant number, since it is smaller than the sum of its proper divisors (1580463504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
687601152 is a wasteful number, since it uses less digits than its factorization.
687601152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21348 (or 21329 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 687601152 is about 26222.1500262660. The cubic root of 687601152 is about 882.6303667749.
The spelling of 687601152 in words is "six hundred eighty-seven million, six hundred one thousand, one hundred fifty-two".
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