Base | Representation |
---|---|
bin | 110101000001… |
… | …000000000000 |
3 | 222011002002200 |
4 | 311001000000 |
5 | 12024211403 |
6 | 1213513200 |
7 | 226062105 |
oct | 65010000 |
9 | 28132080 |
10 | 13897728 |
11 | 7932629 |
12 | 47a2800 |
13 | 2b57a10 |
14 | 1bbaaac |
15 | 1347ca3 |
hex | d41000 |
13897728 has 156 divisors (see below), whose sum is σ = 44722860. Its totient is φ = 4128768.
The previous prime is 13897717. The next prime is 13897777. The reversal of 13897728 is 82779831.
It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 9437184 = 2112^2 + 3072^2 .
It is a tau number, because it is divible by the number of its divisors (156).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (169344) is a multiple of the sum of its prime factors (72).
It is a nialpdrome in base 16.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479218 + ... + 479246.
It is an arithmetic number, because the mean of its divisors is an integer number (286685).
Almost surely, 213897728 is an apocalyptic number.
13897728 is a gapful number since it is divisible by the number (18) 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 13897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22361430).
13897728 is an abundant number, since it is smaller than the sum of its proper divisors (30825132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13897728 is a wasteful number, since it uses less digits than its factorization.
13897728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72 (or 47 counting only the distinct ones).
The product of its digits is 169344, while the sum is 45.
The square root of 13897728 is about 3727.9656650779. The cubic root of 13897728 is about 240.4259103877.
The spelling of 13897728 in words is "thirteen million, eight hundred ninety-seven thousand, seven hundred twenty-eight".
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