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9680896 = 21129163
BaseRepresentation
bin100100111011…
…100000000000
3200012211200201
4210323200000
54434242041
6543254544
7145200121
oct44734000
920184621
109680896
115512445
1232aa454
13200c554
141400048
15cb3631
hex93b800

9680896 has 48 divisors (see below), whose sum is σ = 20147400. Its totient is φ = 4644864.

The previous prime is 9680893. The next prime is 9680903. The reversal of 9680896 is 6980869.

It is a happy number.

9680896 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59311 + ... + 59473.

Almost surely, 29680896 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 9680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073700).

9680896 is an abundant number, since it is smaller than the sum of its proper divisors (10466504).

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

9680896 is a wasteful number, since it uses less digits than its factorization.

9680896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 9680896 is about 3111.4138265425. The cubic root of 9680896 is about 213.1270227676.

The spelling of 9680896 in words is "nine million, six hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 163 232 256 326 464 512 652 928 1024 1304 1856 2048 2608 3712 4727 5216 7424 9454 10432 14848 18908 20864 29696 37816 41728 59392 75632 83456 151264 166912 302528 333824 605056 1210112 2420224 4840448 9680896