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11335296 = 27374217
BaseRepresentation
bin101011001111…
…011010000000
3210022220002210
4223033122000
510400212141
61042542120
7165230340
oct53173200
923286083
1011335296
116442415
123967940
13246b59b
141710d20
15edd916
hexacf680

11335296 has 64 divisors (see below), whose sum is σ = 34418880. Its totient is φ = 3237888.

The previous prime is 11335279. The next prime is 11335321. The reversal of 11335296 is 69253311.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 580 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (537795).

Almost surely, 211335296 is an apocalyptic number.

11335296 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 11335296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209440).

11335296 is an abundant number, since it is smaller than the sum of its proper divisors (23083584).

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

11335296 is an equidigital number, since it uses as much as digits as its factorization.

11335296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4229 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 11335296 is about 3366.7931329382. The cubic root of 11335296 is about 224.6351023680.

The spelling of 11335296 in words is "eleven million, three hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4217 8434 12651 16868 25302 29519 33736 50604 59038 67472 88557 101208 118076 134944 177114 202416 236152 269888 354228 404832 472304 539776 708456 809664 944608 1416912 1619328 1889216 2833824 3778432 5667648 11335296