Base | Representation |
---|---|
bin | 101011101101… |
… | …110111100000 |
3 | 210120020020211 |
4 | 223231313200 |
5 | 10413210224 |
6 | 1045343504 |
7 | 166260160 |
oct | 53556740 |
9 | 23506224 |
10 | 11460064 |
11 | 6518130 |
12 | 3a07b94 |
13 | 24b3305 |
14 | 17445a0 |
15 | 1015894 |
hex | aedde0 |
11460064 has 48 divisors (see below), whose sum is σ = 28135296. Its totient is φ = 4464000.
The previous prime is 11460061. The next prime is 11460073. The reversal of 11460064 is 46006411.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11460061) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 4789.
It is an arithmetic number, because the mean of its divisors is an integer number (586152).
Almost surely, 211460064 is an apocalyptic number.
11460064 is a gapful number since it is divisible by the number (14) 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 11460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14067648).
11460064 is an abundant number, since it is smaller than the sum of its proper divisors (16675232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11460064 is a wasteful number, since it uses less digits than its factorization.
11460064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4679 (or 4671 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 11460064 is about 3385.2716286880. The cubic root of 11460064 is about 225.4562855792.
Adding to 11460064 its reverse (46006411), we get a palindrome (57466475).
The spelling of 11460064 in words is "eleven million, four hundred sixty thousand, sixty-four".
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