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11816064 = 273313263
BaseRepresentation
bin101101000100…
…110010000000
3211020022121000
4231010302000
511011103224
61101132000
7202302111
oct55046200
924208530
1011816064
116740647
123b5a000
1325a9370
1417d8208
1510860c9
hexb44c80

11816064 has 128 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 3621888.

The previous prime is 11816029. The next prime is 11816087. The reversal of 11816064 is 46061811.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44797 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 211816064 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 11816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

11816064 is an abundant number, since it is smaller than the sum of its proper divisors (25883136).

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

11816064 is a wasteful number, since it uses less digits than its factorization.

11816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11816064 is about 3437.4502178213. The cubic root of 11816064 is about 227.7670751443.

Adding to 11816064 its reverse (46061811), we get a palindrome (57877875).

The spelling of 11816064 in words is "eleven million, eight hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 263 288 312 351 384 416 432 468 526 576 624 702 789 832 864 936 1052 1152 1248 1404 1578 1664 1728 1872 2104 2367 2496 2808 3156 3419 3456 3744 4208 4734 4992 5616 6312 6838 7101 7488 8416 9468 10257 11232 12624 13676 14202 14976 16832 18936 20514 22464 25248 27352 28404 30771 33664 37872 41028 44928 50496 54704 56808 61542 75744 82056 92313 100992 109408 113616 123084 151488 164112 184626 218816 227232 246168 302976 328224 369252 437632 454464 492336 656448 738504 908928 984672 1312896 1477008 1969344 2954016 3938688 5908032 11816064