Base | Representation |
---|---|
bin | 101110000001… |
… | …111011010100 |
3 | 211201001011000 |
4 | 232001323110 |
5 | 11042112031 |
6 | 1110343300 |
7 | 204364230 |
oct | 56017324 |
9 | 24631130 |
10 | 12066516 |
11 | 68a1830 |
12 | 405ab30 |
13 | 2666367 |
14 | 18615c0 |
15 | 10d53e6 |
hex | b81ed4 |
12066516 has 96 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3132000.
The previous prime is 12066511. The next prime is 12066517. The reversal of 12066516 is 61566021.
It is a happy number.
12066516 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 651 + 6 = 666.
12066516 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
12066516 is strictly pandigital in base 8.
It is a self number, because there is not a number n which added to its sum of digits gives 12066516.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12066511) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7591 + ... + 9041.
It is an arithmetic number, because the mean of its divisors is an integer number (406560).
Almost surely, 212066516 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 12066516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).
12066516 is an abundant number, since it is smaller than the sum of its proper divisors (26963244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12066516 is a wasteful number, since it uses less digits than its factorization.
12066516 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 12066516 is about 3473.6891052597. The cubic root of 12066516 is about 229.3650793968.
Adding to 12066516 its product of nonzero digits (2160), we get a square (12068676 = 34742).
The spelling of 12066516 in words is "twelve million, sixty-six thousand, five hundred sixteen".
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