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11496064 = 271929163
BaseRepresentation
bin101011110110…
…101010000000
3210122001122011
4223312222000
510420333224
61050222304
7166500136
oct53665200
923561564
1011496064
116542188
123a24994
1324c6808
141753756
151021394
hexaf6a80

11496064 has 64 divisors (see below), whose sum is σ = 25092000. Its totient is φ = 5225472.

The previous prime is 11496049. The next prime is 11496073. The reversal of 11496064 is 46069411.

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, 70447 + ... + 70609.

Almost surely, 211496064 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 11496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546000).

11496064 is an abundant number, since it is smaller than the sum of its proper divisors (13595936).

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

11496064 is a wasteful number, since it uses less digits than its factorization.

11496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 11496064 is about 3390.5846103585. The cubic root of 11496064 is about 225.6921173702.

The spelling of 11496064 in words is "eleven million, four hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 163 232 304 326 464 551 608 652 928 1102 1216 1304 1856 2204 2432 2608 3097 3712 4408 4727 5216 6194 8816 9454 10432 12388 17632 18908 20864 24776 35264 37816 49552 70528 75632 89813 99104 151264 179626 198208 302528 359252 396416 605056 718504 1437008 2874016 5748032 11496064