Base | Representation |
---|---|
bin | 111110001001… |
… | …000101100000 |
3 | 1010122121212200 |
4 | 332021011200 |
5 | 13132241034 |
6 | 1341053200 |
7 | 255315063 |
oct | 76110540 |
9 | 33577780 |
10 | 16290144 |
11 | 9217032 |
12 | 5557200 |
13 | 34b4950 |
14 | 22408da |
15 | 166ba99 |
hex | f89160 |
16290144 has 144 divisors (see below), whose sum is σ = 52743600. Its totient is φ = 4727808.
The previous prime is 16290143. The next prime is 16290149. The reversal of 16290144 is 44109261.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16290143) 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, 71022 + ... + 71250.
It is an arithmetic number, because the mean of its divisors is an integer number (366275).
Almost surely, 216290144 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 16290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371800).
16290144 is an abundant number, since it is smaller than the sum of its proper divisors (36453456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16290144 is a wasteful number, since it uses less digits than its factorization.
16290144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 277 (or 266 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 16290144 is about 4036.1050531422. The cubic root of 16290144 is about 253.4982551845.
The spelling of 16290144 in words is "sixteen million, two hundred ninety thousand, one hundred forty-four".
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