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11644896 = 2531011201
BaseRepresentation
bin101100011010…
…111111100000
3210220121210110
4230122333200
510440114041
61053331320
7200660064
oct54327740
923817713
1011644896
116633a8a
123a96b40
132549493
141791aa4
151050516
hexb1afe0

11644896 has 48 divisors (see below), whose sum is σ = 30896208. Its totient is φ = 3840000.

The previous prime is 11644859. The next prime is 11644901. The reversal of 11644896 is 69844611.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 9096 + ... + 10296.

It is an arithmetic number, because the mean of its divisors is an integer number (643671).

Almost surely, 211644896 is an apocalyptic number.

11644896 is a gapful number since it is divisible by the number (16) 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 11644896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448104).

11644896 is an abundant number, since it is smaller than the sum of its proper divisors (19251312).

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

11644896 is a wasteful number, since it uses less digits than its factorization.

11644896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 11644896 is about 3412.4618679188. The cubic root of 11644896 is about 226.6619068589.

The spelling of 11644896 in words is "eleven million, six hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1201 1212 1616 2402 2424 3232 3603 4804 4848 7206 9608 9696 14412 19216 28824 38432 57648 115296 121301 242602 363903 485204 727806 970408 1455612 1940816 2911224 3881632 5822448 11644896