Base | Representation |
---|---|
bin | 110010011100… |
… | …010010000000 |
3 | 220212210121020 |
4 | 302130102000 |
5 | 11341114130 |
6 | 1151225440 |
7 | 220252065 |
oct | 62342200 |
9 | 26783536 |
10 | 13223040 |
11 | 7511736 |
12 | 4518280 |
13 | 297c8ac |
14 | 1a82c6c |
15 | 1262e10 |
hex | c9c480 |
13223040 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3440640.
The previous prime is 13223039. The next prime is 13223051. The reversal of 13223040 is 4032231.
13223040 = T744 + T745 + ... + T788.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136272 + ... + 136368.
It is an arithmetic number, because the mean of its divisors is an integer number (337365).
Almost surely, 213223040 is an apocalyptic number.
13223040 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 13223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).
13223040 is an abundant number, since it is smaller than the sum of its proper divisors (29959680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13223040 is an equidigital number, since it uses as much as digits as its factorization.
13223040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 190 (or 178 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 13223040 is about 3636.3498181556. The cubic root of 13223040 is about 236.4705730930.
Adding to 13223040 its reverse (4032231), we get a palindrome (17255271).
The spelling of 13223040 in words is "thirteen million, two hundred twenty-three thousand, forty".
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