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9901056 = 210311293
BaseRepresentation
bin100101110001…
…010000000000
3200122000200210
4211301100000
510013313211
6552114120
7150105024
oct45612000
920560623
109901056
1156528a0
123395940
132088819
14145a384
15d089a6
hex971400

9901056 has 88 divisors (see below), whose sum is σ = 28887264. Its totient is φ = 2990080.

The previous prime is 9901037. The next prime is 9901061. The reversal of 9901056 is 6501099.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

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, 33646 + ... + 33938.

Almost surely, 29901056 is an apocalyptic number.

9901056 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 9901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443632).

9901056 is an abundant number, since it is smaller than the sum of its proper divisors (18986208).

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

9901056 is a wasteful number, since it uses less digits than its factorization.

9901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 9901056 is about 3146.5943494515. The cubic root of 9901056 is about 214.7305512231.

The spelling of 9901056 in words is "nine million, nine hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 293 352 384 512 528 586 704 768 879 1024 1056 1172 1408 1536 1758 2112 2344 2816 3072 3223 3516 4224 4688 5632 6446 7032 8448 9376 9669 11264 12892 14064 16896 18752 19338 25784 28128 33792 37504 38676 51568 56256 75008 77352 103136 112512 150016 154704 206272 225024 300032 309408 412544 450048 618816 825088 900096 1237632 1650176 2475264 3300352 4950528 9901056