Base | Representation |
---|---|
bin | 101101110101… |
… | …001110000000 |
3 | 211121101202011 |
4 | 231311032000 |
5 | 11033430324 |
6 | 1105302304 |
7 | 204056410 |
oct | 55651600 |
9 | 24541664 |
10 | 12014464 |
11 | 6866710 |
12 | 4034994 |
13 | 2648767 |
14 | 184a640 |
15 | 10c4c94 |
hex | b75380 |
12014464 has 128 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 4392960.
The previous prime is 12014449. The next prime is 12014477. The reversal of 12014464 is 46441021.
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 (22).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 226662 + ... + 226714.
It is an arithmetic number, because the mean of its divisors is an integer number (247860).
Almost surely, 212014464 is an apocalyptic number.
12014464 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 12014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).
12014464 is an abundant number, since it is smaller than the sum of its proper divisors (19711616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12014464 is a wasteful number, since it uses less digits than its factorization.
12014464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 96 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 22.
The square root of 12014464 is about 3466.1886849968. The cubic root of 12014464 is about 229.0347957271.
Adding to 12014464 its reverse (46441021), we get a palindrome (58455485).
It can be divided in two parts, 1201 and 4464, that added together give a palindrome (5665).
The spelling of 12014464 in words is "twelve million, fourteen thousand, four hundred sixty-four".
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