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9998016 = 263743173
BaseRepresentation
bin100110001000…
…111011000000
3200210221200220
4212020323000
510024414031
6554143040
7150660510
oct46107300
920727626
109998016
115709726
123421a80
1320c09b2
141483840
15d27596
hex988ec0

9998016 has 112 divisors (see below), whose sum is σ = 31113984. Its totient is φ = 2774016.

The previous prime is 9997997. The next prime is 9998017. The reversal of 9998016 is 6108999.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9998017) 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, 57706 + ... + 57878.

Almost surely, 29998016 is an apocalyptic number.

9998016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556992).

9998016 is an abundant number, since it is smaller than the sum of its proper divisors (21115968).

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

9998016 is a wasteful number, since it uses less digits than its factorization.

9998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 9998016 is about 3161.9639466635. The cubic root of 9998016 is about 215.4292200661.

The spelling of 9998016 in words is "nine million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 173 192 224 258 301 336 344 346 448 516 519 602 672 688 692 903 1032 1038 1204 1211 1344 1376 1384 1806 2064 2076 2408 2422 2752 2768 3612 3633 4128 4152 4816 4844 5536 7224 7266 7439 8256 8304 9632 9688 11072 14448 14532 14878 16608 19264 19376 22317 28896 29064 29756 33216 38752 44634 52073 57792 58128 59512 77504 89268 104146 116256 119024 156219 178536 208292 232512 238048 312438 357072 416584 476096 624876 714144 833168 1249752 1428288 1666336 2499504 3332672 4999008 9998016