Base | Representation |
---|---|
bin | 110100011000… |
… | …000110000000 |
3 | 221211120021001 |
4 | 310120012000 |
5 | 12003331201 |
6 | 1210141344 |
7 | 224463445 |
oct | 64300600 |
9 | 27746231 |
10 | 13730176 |
11 | 7828759 |
12 | 4721854 |
13 | 2ac9685 |
14 | 1b759cc |
15 | 1313301 |
hex | d18180 |
13730176 has 32 divisors (see below), whose sum is σ = 27778680. Its totient is φ = 6758400.
The previous prime is 13730173. The next prime is 13730177. The reversal of 13730176 is 67103731.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13730173) by changing a digit.
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, 7776 + ... + 9376.
Almost surely, 213730176 is an apocalyptic number.
13730176 is a gapful number since it is divisible by the number (16) 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 13730176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889340).
13730176 is an abundant number, since it is smaller than the sum of its proper divisors (14048504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13730176 is an equidigital number, since it uses as much as digits as its factorization.
13730176 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1682 (or 1670 counting only the distinct ones).
The product of its (nonzero) digits is 2646, while the sum is 28.
The square root of 13730176 is about 3705.4252117672. The cubic root of 13730176 is about 239.4558040144.
The spelling of 13730176 in words is "thirteen million, seven hundred thirty thousand, one hundred seventy-six".
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