Base | Representation |
---|---|
bin | 101011110110… |
… | …101010000000 |
3 | 210122001122011 |
4 | 223312222000 |
5 | 10420333224 |
6 | 1050222304 |
7 | 166500136 |
oct | 53665200 |
9 | 23561564 |
10 | 11496064 |
11 | 6542188 |
12 | 3a24994 |
13 | 24c6808 |
14 | 1753756 |
15 | 1021394 |
hex | af6a80 |
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".
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