Base | Representation |
---|---|
bin | 111101000011… |
… | …110010001100 |
3 | 1010010012111100 |
4 | 331003302030 |
5 | 13044200114 |
6 | 1331023100 |
7 | 253023360 |
oct | 75036214 |
9 | 33105440 |
10 | 16006284 |
11 | 9042838 |
12 | 543aa90 |
13 | 3415698 |
14 | 21a92a0 |
15 | 1612909 |
hex | f43c8c |
16006284 has 72 divisors (see below), whose sum is σ = 48688640. Its totient is φ = 4331232.
The previous prime is 16006283. The next prime is 16006313. The reversal of 16006284 is 48260061.
16006284 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×160062842 = 512402254977312, which contains 22 as substring.
16006284 is strictly pandigital in base 8.
It is not an unprimeable number, because it can be changed into a prime (16006283) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3117 + ... + 6459.
Almost surely, 216006284 is an apocalyptic number.
16006284 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 16006284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24344320).
16006284 is an abundant number, since it is smaller than the sum of its proper divisors (32682356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16006284 is a wasteful number, since it uses less digits than its factorization.
16006284 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3379 (or 3374 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 16006284 is about 4000.7854228889. The cubic root of 16006284 is about 252.0171945939.
It can be divided in two parts, 16006 and 284, that added together give a triangular number (16290 = T180).
The spelling of 16006284 in words is "sixteen million, six thousand, two hundred eighty-four".
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