Base | Representation |
---|---|
bin | 111101000010… |
… | …100000000000 |
3 | 1010002221021112 |
4 | 331002200000 |
5 | 13044013044 |
6 | 1330542452 |
7 | 253002134 |
oct | 75024000 |
9 | 33087245 |
10 | 16001024 |
11 | 9039896 |
12 | 5437a28 |
13 | 3413180 |
14 | 21a73c4 |
15 | 161109e |
hex | f42800 |
16001024 has 48 divisors (see below), whose sum is σ = 34512660. Its totient is φ = 7372800.
The previous prime is 16000987. The next prime is 16001081. The reversal of 16001024 is 42010061.
It can be written as a sum of positive squares in 2 ways, for example, as 16000000 + 1024 = 4000^2 + 32^2 .
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 in 3 ways as a sum of consecutive naturals, for example, 26324 + ... + 26924.
Almost surely, 216001024 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 16001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17256330).
16001024 is an abundant number, since it is smaller than the sum of its proper divisors (18511636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16001024 is an equidigital number, since it uses as much as digits as its factorization.
16001024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 636 (or 616 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 16001024 is about 4000.1279979521. The cubic root of 16001024 is about 251.9895855274.
Adding to 16001024 its reverse (42010061), we get a palindrome (58011085).
It can be divided in two parts, 1600 and 1024, that multiplied together give a square (1638400 = 12802).
The spelling of 16001024 in words is "sixteen million, one thousand, twenty-four".
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