Base | Representation |
---|---|
bin | 111101000011… |
… | …100111110000 |
3 | 1010010011120121 |
4 | 331003213300 |
5 | 13044134431 |
6 | 1331020024 |
7 | 253021414 |
oct | 75034760 |
9 | 33104517 |
10 | 16005616 |
11 | 9042290 |
12 | 543a614 |
13 | 34152a3 |
14 | 21a8d44 |
15 | 1612611 |
hex | f439f0 |
16005616 has 40 divisors (see below), whose sum is σ = 34069248. Its totient is φ = 7224000.
The previous prime is 16005611. The next prime is 16005617. The reversal of 16005616 is 61650061.
16005616 is a modest number, since divided by 5616 gives 16 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16005611) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36921 + ... + 37351.
Almost surely, 216005616 is an apocalyptic number.
16005616 is a gapful number since it is divisible by the number (16) 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 16005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034624).
16005616 is an abundant number, since it is smaller than the sum of its proper divisors (18063632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16005616 is a wasteful number, since it uses less digits than its factorization.
16005616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 661 (or 655 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 25.
The square root of 16005616 is about 4000.7019384103. The cubic root of 16005616 is about 252.0136886828.
Adding to 16005616 its reverse (61650061), we get a palindrome (77655677).
The spelling of 16005616 in words is "sixteen million, five thousand, six hundred sixteen".
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