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13221360 = 243356121
BaseRepresentation
bin110010011011…
…110111110000
3220212201022000
4302123313300
511341040420
61151214000
7220244145
oct62336760
926781260
1013221360
117510449
124517300
13297bbb9
141a823cc
151262690
hexc9bdf0

13221360 has 80 divisors (see below), whose sum is σ = 45547680. Its totient is φ = 3525120.

The previous prime is 13221353. The next prime is 13221379. The reversal of 13221360 is 6312231.

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 (18).

It is a congruent number.

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, 901 + ... + 5220.

It is an arithmetic number, because the mean of its divisors is an integer number (569346).

Almost surely, 213221360 is an apocalyptic number.

13221360 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 13221360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22773840).

13221360 is an abundant number, since it is smaller than the sum of its proper divisors (32326320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221360 is a wasteful number, since it uses less digits than its factorization.

13221360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13221360 is about 3636.1188099401. The cubic root of 13221360 is about 236.4605580639.

Adding to 13221360 its reverse (6312231), we get a palindrome (19533591).

The spelling of 13221360 in words is "thirteen million, two hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6121 12242 18363 24484 30605 36726 48968 55089 61210 73452 91815 97936 110178 122420 146904 165267 183630 220356 244840 275445 293808 330534 367260 440712 489680 550890 661068 734520 826335 881424 1101780 1322136 1469040 1652670 2203560 2644272 3305340 4407120 6610680 13221360