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9982680 = 2335412029
BaseRepresentation
bin100110000101…
…001011011000
3200210011122220
4212011023120
510023421210
6553544040
7150565011
oct46051330
920704586
109982680
1156a9154
123415020
1320b6a16
14147c008
15d22c70
hex9852d8

9982680 has 64 divisors (see below), whose sum is σ = 30693600. Its totient is φ = 2595840.

The previous prime is 9982673. The next prime is 9982681. The reversal of 9982680 is 862899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3906 + ... + 5934.

Almost surely, 29982680 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 9982680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346800).

9982680 is an abundant number, since it is smaller than the sum of its proper divisors (20710920).

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

9982680 is a wasteful number, since it uses less digits than its factorization.

9982680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9982680 is about 3159.5379409021. The cubic root of 9982680 is about 215.3190144276.

The spelling of 9982680 in words is "nine million, nine hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2029 2460 4058 4920 6087 8116 10145 12174 16232 20290 24348 30435 40580 48696 60870 81160 83189 121740 166378 243480 249567 332756 415945 499134 665512 831890 998268 1247835 1663780 1996536 2495670 3327560 4991340 9982680