Base | Representation |
---|---|
bin | 111110111011… |
… | …100000000000 |
3 | 1011001010010200 |
4 | 332323200000 |
5 | 13210343030 |
6 | 1345325200 |
7 | 260135106 |
oct | 76734000 |
9 | 34033120 |
10 | 16496640 |
11 | 9348196 |
12 | 5636800 |
13 | 3557934 |
14 | 2295c76 |
15 | 16acd60 |
hex | fbb800 |
16496640 has 144 divisors (see below), whose sum is σ = 57493800. Its totient is φ = 4374528.
The previous prime is 16496639. The next prime is 16496651. The reversal of 16496640 is 4669461.
16496640 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 16496595 and 16496604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92071 + ... + 92249.
Almost surely, 216496640 is an apocalyptic number.
16496640 is a gapful number since it is divisible by the number (10) 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 16496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746900).
16496640 is an abundant number, since it is smaller than the sum of its proper divisors (40997160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16496640 is a wasteful number, since it uses less digits than its factorization.
16496640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 189 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 16496640 is about 4061.6055938508. The cubic root of 16496640 is about 254.5648865808.
The spelling of 16496640 in words is "sixteen million, four hundred ninety-six thousand, six hundred forty".
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