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9885680 = 2457127139
BaseRepresentation
bin100101101101…
…011111110000
3200121020121022
4211231133300
510012320210
6551515012
7150012140
oct45553760
920536538
109885680
115642292
123388a68
13208181c
141454920
15d04155
hex96d7f0

9885680 has 80 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 3338496.

The previous prime is 9885647. The next prime is 9885727. The reversal of 9885680 is 865889.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71051 + ... + 71189.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 29885680 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 9885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

9885680 is an abundant number, since it is smaller than the sum of its proper divisors (16779280).

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

9885680 is a wasteful number, since it uses less digits than its factorization.

9885680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 9885680 is about 3144.1501236423. The cubic root of 9885680 is about 214.6193372417.

The spelling of 9885680 in words is "nine million, eight hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 139 140 254 278 280 508 556 560 635 695 889 973 1016 1112 1270 1390 1778 1946 2032 2224 2540 2780 3556 3892 4445 4865 5080 5560 7112 7784 8890 9730 10160 11120 14224 15568 17653 17780 19460 35306 35560 38920 70612 71120 77840 88265 123571 141224 176530 247142 282448 353060 494284 617855 706120 988568 1235710 1412240 1977136 2471420 4942840 9885680