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11065296 = 24311191103
BaseRepresentation
bin101010001101…
…011111010000
3202211011201210
4222031133100
510313042141
61033100120
7163024224
oct52153720
922734653
1011065296
116278580
123857640
1323a5718
141680784
15e88916
hexa8d7d0

11065296 has 80 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 3173760.

The previous prime is 11065291. The next prime is 11065297. The reversal of 11065296 is 69256011.

11065296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11065291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9481 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (410688).

Almost surely, 211065296 is an apocalyptic number.

11065296 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 11065296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427520).

11065296 is an abundant number, since it is smaller than the sum of its proper divisors (21789744).

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

11065296 is a wasteful number, since it uses less digits than its factorization.

11065296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 11065296 is about 3326.4539678162. The cubic root of 11065296 is about 222.8371927290.

The spelling of 11065296 in words is "eleven million, sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1103 1254 1672 2206 2508 3309 3344 4412 5016 6618 8824 10032 12133 13236 17648 20957 24266 26472 36399 41914 48532 52944 62871 72798 83828 97064 125742 145596 167656 194128 230527 251484 291192 335312 461054 502968 582384 691581 922108 1005936 1383162 1844216 2766324 3688432 5532648 11065296