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9998864 = 2419311061
BaseRepresentation
bin100110001001…
…001000010000
3200210222212022
4212021020100
510024430424
6554151012
7150663131
oct46111020
920728768
109998864
11570a327
123422468
1320c11b5
141483c88
15d2795e
hex989210

9998864 has 40 divisors (see below), whose sum is σ = 21070080. Its totient is φ = 4579200.

The previous prime is 9998861. The next prime is 9998867. The reversal of 9998864 is 4688999.

9998864 = T89 + T90 + ... + T392.

It is an interprime number because it is at equal distance from previous prime (9998861) and next prime (9998867).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9998861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8894 + ... + 9954.

It is an arithmetic number, because the mean of its divisors is an integer number (526752).

Almost surely, 29998864 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 9998864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10535040).

9998864 is an abundant number, since it is smaller than the sum of its proper divisors (11071216).

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

9998864 is a wasteful number, since it uses less digits than its factorization.

9998864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 53.

The square root of 9998864 is about 3162.0980376959. The cubic root of 9998864 is about 215.4353105682.

The spelling of 9998864 in words is "nine million, nine hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1061 1178 2122 2356 4244 4712 8488 9424 16976 20159 32891 40318 65782 80636 131564 161272 263128 322544 526256 624929 1249858 2499716 4999432 9998864