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11065248 = 25351423
BaseRepresentation
bin101010001101…
…011110100000
3202211011200000
4222031132200
510313041443
61033100000
7163024125
oct52153640
922734600
1011065248
116278537
123857600
1323a56ac
14168074c
15e888d3
hexa8d7a0

11065248 has 72 divisors (see below), whose sum is σ = 32655168. Its totient is φ = 3685824.

The previous prime is 11065247. The next prime is 11065259. The reversal of 11065248 is 84256011.

11065248 is a `hidden beast` number, since 1 + 1 + 0 + 652 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11065247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7065 + ... + 8487.

It is an arithmetic number, because the mean of its divisors is an integer number (453544).

Almost surely, 211065248 is an apocalyptic number.

11065248 is a gapful number since it is divisible by the number (18) 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 11065248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327584).

11065248 is an abundant number, since it is smaller than the sum of its proper divisors (21589920).

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

11065248 is an equidigital number, since it uses as much as digits as its factorization.

11065248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11065248 is about 3326.4467529182. The cubic root of 11065248 is about 222.8368705144.

The spelling of 11065248 in words is "eleven million, sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1423 1944 2592 2846 3888 4269 5692 7776 8538 11384 12807 17076 22768 25614 34152 38421 45536 51228 68304 76842 102456 115263 136608 153684 204912 230526 307368 345789 409824 461052 614736 691578 922104 1229472 1383156 1844208 2766312 3688416 5532624 11065248