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9920988 = 22337111193
BaseRepresentation
bin100101110110…
…000111011100
3200200001001000
4211312013130
510014432423
6552350300
7150220110
oct45660734
920601030
109920988
115666870
1233a5390
13209490c
141463740
15d0e843
hex9761dc

9920988 has 96 divisors (see below), whose sum is σ = 32094720. Its totient is φ = 2574720.

The previous prime is 9920957. The next prime is 9920993. The reversal of 9920988 is 8890299.

It is a super-2 number, since 2×99209882 = 196852005792288, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7720 + ... + 8912.

It is an arithmetic number, because the mean of its divisors is an integer number (334320).

Almost surely, 29920988 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 9920988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047360).

9920988 is an abundant number, since it is smaller than the sum of its proper divisors (22173732).

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

9920988 is a wasteful number, since it uses less digits than its factorization.

9920988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9920988 is about 3149.7599908564. The cubic root of 9920988 is about 214.8745473281.

The spelling of 9920988 in words is "nine million, nine hundred twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1193 1386 2079 2386 2772 3579 4158 4772 7158 8316 8351 10737 13123 14316 16702 21474 25053 26246 32211 33404 39369 42948 50106 52492 64422 75159 78738 91861 100212 118107 128844 150318 157476 183722 225477 236214 275583 300636 354321 367444 450954 472428 551166 708642 826749 901908 1102332 1417284 1653498 2480247 3306996 4960494 9920988