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8680896 = 263272153
BaseRepresentation
bin100001000111…
…010111000000
3121100000221200
4201013113000
54210242041
6510021200
7133533510
oct41072700
917300850
108680896
11499a0a4
122aa7800
131a4c333
14121d840
15b671b6
hex8475c0

8680896 has 84 divisors (see below), whose sum is σ = 28450032. Its totient is φ = 2479104.

The previous prime is 8680871. The next prime is 8680901. The reversal of 8680896 is 6980868.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2956 + ... + 5108.

Almost surely, 28680896 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 8680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225016).

8680896 is an abundant number, since it is smaller than the sum of its proper divisors (19769136).

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

8680896 is a wasteful number, since it uses less digits than its factorization.

8680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8680896 is about 2946.3360297156. The cubic root of 8680896 is about 205.5203595720.

The spelling of 8680896 in words is "eight million, six hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2153 4032 4306 6459 8612 12918 15071 17224 19377 25836 30142 34448 38754 45213 51672 60284 68896 77508 90426 103344 120568 135639 137792 155016 180852 206688 241136 271278 310032 361704 413376 482272 542556 620064 723408 964544 1085112 1240128 1446816 2170224 2893632 4340448 8680896