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9680608 = 257231879
BaseRepresentation
bin100100111011…
…011011100000
3200012211022001
4210323123200
54434234413
6543253344
7145166230
oct44733340
920184261
109680608
115512203
1232aa254
13200c392
1413ddcc0
15cb34dd
hex93b6e0

9680608 has 48 divisors (see below), whose sum is σ = 22740480. Its totient is φ = 3966336.

The previous prime is 9680591. The next prime is 9680623. The reversal of 9680608 is 8060869.

9680608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4213 + ... + 6091.

It is an arithmetic number, because the mean of its divisors is an integer number (473760).

Almost surely, 29680608 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 9680608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370240).

9680608 is an abundant number, since it is smaller than the sum of its proper divisors (13059872).

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

9680608 is a wasteful number, since it uses less digits than its factorization.

9680608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 9680608 is about 3111.3675449873. The cubic root of 9680608 is about 213.1249092858.

The spelling of 9680608 in words is "nine million, six hundred eighty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 1879 2576 3758 5152 7516 13153 15032 26306 30064 43217 52612 60128 86434 105224 172868 210448 302519 345736 420896 605038 691472 1210076 1382944 2420152 4840304 9680608