Base | Representation |
---|---|
bin | 110010100001… |
… | …101110110000 |
3 | 220220221012220 |
4 | 302201232300 |
5 | 11342322420 |
6 | 1151521040 |
7 | 220404132 |
oct | 62415660 |
9 | 26827186 |
10 | 13245360 |
11 | 7527487 |
12 | 4529180 |
13 | 2989abb |
14 | 1a8b052 |
15 | 1269840 |
hex | ca1bb0 |
13245360 has 80 divisors (see below), whose sum is σ = 41411040. Its totient is φ = 3502080.
The previous prime is 13245359. The next prime is 13245361. The reversal of 13245360 is 6354231.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (13245359) and next prime (13245361).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 13245360.
It is not an unprimeable number, because it can be changed into a prime (13245361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54840 + ... + 55080.
It is an arithmetic number, because the mean of its divisors is an integer number (517638).
Almost surely, 213245360 is an apocalyptic number.
13245360 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 13245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705520).
13245360 is an abundant number, since it is smaller than the sum of its proper divisors (28165680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13245360 is a wasteful number, since it uses less digits than its factorization.
13245360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 486 (or 480 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 13245360 is about 3639.4175358153. The cubic root of 13245360 is about 236.6035494804.
Adding to 13245360 its reverse (6354231), we get a palindrome (19599591).
The spelling of 13245360 in words is "thirteen million, two hundred forty-five thousand, three hundred sixty".
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