Base | Representation |
---|---|
bin | 110001111111… |
… | …100110000000 |
3 | 220122211102020 |
4 | 301333212000 |
5 | 11323334121 |
6 | 1144521440 |
7 | 216252363 |
oct | 61774600 |
9 | 26584366 |
10 | 13105536 |
11 | 7441424 |
12 | 4480280 |
13 | 293b272 |
14 | 1a520da |
15 | 123d1c6 |
hex | c7f980 |
13105536 has 32 divisors (see below), whose sum is σ = 34812600. Its totient is φ = 4368384.
The previous prime is 13105507. The next prime is 13105537. The reversal of 13105536 is 63550131.
13105536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (32).
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13105537) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16681 + ... + 17448.
Almost surely, 213105536 is an apocalyptic number.
13105536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
13105536 is an abundant number, since it is smaller than the sum of its proper divisors (21707064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13105536 is an equidigital number, since it uses as much as digits as its factorization.
13105536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34146 (or 34134 counting only the distinct ones).
The product of its (nonzero) digits is 1350, while the sum is 24.
The square root of 13105536 is about 3620.1569026770. The cubic root of 13105536 is about 235.7680379054.
Adding to 13105536 its reverse (63550131), we get a palindrome (76655667).
The spelling of 13105536 in words is "thirteen million, one hundred five thousand, five hundred thirty-six".
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