Base | Representation |
---|---|
bin | 110010110100… |
… | …110110000000 |
3 | 221001220121110 |
4 | 302310312000 |
5 | 11402324043 |
6 | 1153323320 |
7 | 221151312 |
oct | 62646600 |
9 | 27056543 |
10 | 13323648 |
11 | 7580288 |
12 | 4566540 |
13 | 29b6620 |
14 | 1aab7b2 |
15 | 1282b33 |
hex | cb4d80 |
13323648 has 128 divisors (see below), whose sum is σ = 40612320. Its totient is φ = 3833856.
The previous prime is 13323643. The next prime is 13323649. The reversal of 13323648 is 84632331.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (10368) is a multiple of the sum of its prime divisors (192).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13323641) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84786 + ... + 84942.
Almost surely, 213323648 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 13323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306160).
13323648 is an abundant number, since it is smaller than the sum of its proper divisors (27288672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13323648 is a wasteful number, since it uses less digits than its factorization.
13323648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 204 (or 192 counting only the distinct ones).
The product of its digits is 10368, while the sum is 30.
The square root of 13323648 is about 3650.1572568863. The cubic root of 13323648 is about 237.0687902292.
Adding to 13323648 its reverse (84632331), we get a palindrome (97955979).
The spelling of 13323648 in words is "thirteen million, three hundred twenty-three thousand, six hundred forty-eight".
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