Base | Representation |
---|---|
bin | 111111100000… |
… | …000000000000 |
3 | 1011022201012212 |
4 | 333200000000 |
5 | 13230134034 |
6 | 1352441252 |
7 | 261330014 |
oct | 77400000 |
9 | 34281185 |
10 | 16646144 |
11 | 943a549 |
12 | 56a9228 |
13 | 35aa9b8 |
14 | 22d4544 |
15 | 16dc2ce |
hex | fe0000 |
16646144 has 36 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 8257536.
The previous prime is 16646099. The next prime is 16646167. The reversal of 16646144 is 44164661.
It is a super-2 number, since 2×166461442 = 554188220137472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 16646144.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131009 + ... + 131135.
It is an arithmetic number, because the mean of its divisors is an integer number (932064).
Almost surely, 216646144 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 16646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).
16646144 is an abundant number, since it is smaller than the sum of its proper divisors (16908160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16646144 is an frugal number, since it uses more digits than its factorization.
16646144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 129 counting only the distinct ones).
The product of its digits is 13824, while the sum is 32.
The square root of 16646144 is about 4079.9686273304. The cubic root of 16646144 is about 255.3315896475.
The spelling of 16646144 in words is "sixteen million, six hundred forty-six thousand, one hundred forty-four".
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