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688914 = 23238273
BaseRepresentation
bin10101000001100010010
31022000000100
42220030102
5134021124
622433230
75566332
oct2501422
91260010
10688914
11430656
12292816
131b1755
1413d0c2
15d91c9
hexa8312

688914 has 12 divisors (see below), whose sum is σ = 1492686. Its totient is φ = 229632.

The previous prime is 688907. The next prime is 688939. The reversal of 688914 is 419886.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 233289 = 675^2 + 483^2 .

It is a Curzon number.

It is an unprimeable number.

688914 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19119 + ... + 19154.

2688914 is an apocalyptic number.

688914 is an abundant number, since it is smaller than the sum of its proper divisors (803772).

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

688914 is a wasteful number, since it uses less digits than its factorization.

688914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38281 (or 38278 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 688914 is about 830.0084336921. The cubic root of 688914 is about 88.3191749785.

It can be divided in two parts, 6889 and 14, that added together give a triangular number (6903 = T117).

The spelling of 688914 in words is "six hundred eighty-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 38273 76546 114819 229638 344457 688914