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13324560 = 243559941
BaseRepresentation
bin110010110101…
…000100010000
3221001221212020
4302311010100
511402341220
61153331440
7221154054
oct62650420
927057766
1013324560
117580a37
124566b80
1329b6b72
141aabc64
151283040
hexcb5110

13324560 has 80 divisors (see below), whose sum is σ = 42050880. Its totient is φ = 3489280.

The previous prime is 13324559. The next prime is 13324561. The reversal of 13324560 is 6542331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13324559) and next prime (13324561).

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 nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13324560.

It is not an unprimeable number, because it can be changed into a prime (13324561) 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, 13690 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (525636).

Almost surely, 213324560 is an apocalyptic number.

13324560 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 13324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025440).

13324560 is an abundant number, since it is smaller than the sum of its proper divisors (28726320).

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

13324560 is a wasteful number, since it uses less digits than its factorization.

13324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13324560 is about 3650.2821808731. The cubic root of 13324560 is about 237.0741992034.

Adding to 13324560 its reverse (6542331), we get a palindrome (19866891).

The spelling of 13324560 in words is "thirteen million, three hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 941 944 1180 1416 1770 1882 2360 2823 2832 3540 3764 4705 4720 5646 7080 7528 9410 11292 14115 14160 15056 18820 22584 28230 37640 45168 55519 56460 75280 111038 112920 166557 222076 225840 277595 333114 444152 555190 666228 832785 888304 1110380 1332456 1665570 2220760 2664912 3331140 4441520 6662280 13324560