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13324200 = 2335253419
BaseRepresentation
bin110010110100…
…111110101000
3221001221100220
4302310332220
511402333300
61153330040
7221153031
oct62647650
927057326
1013324200
11758073a
124566920
1329b6956
141aaba88
151282da0
hexcb4fa8

13324200 has 96 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3477760.

The previous prime is 13324193. The next prime is 13324217. The reversal of 13324200 is 242331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13324200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31591 + ... + 32009.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 213324200 is an apocalyptic number.

13324200 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 13324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

13324200 is an abundant number, since it is smaller than the sum of its proper divisors (28860600).

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

13324200 is a wasteful number, since it uses less digits than its factorization.

13324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13324200 is about 3650.2328692838. The cubic root of 13324200 is about 237.0720641115.

Adding to 13324200 its reverse (242331), we get a palindrome (13566531).

The spelling of 13324200 in words is "thirteen million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 419 424 530 600 636 795 838 1060 1257 1272 1325 1590 1676 2095 2120 2514 2650 3180 3352 3975 4190 5028 5300 6285 6360 7950 8380 10056 10475 10600 12570 15900 16760 20950 22207 25140 31425 31800 41900 44414 50280 62850 66621 83800 88828 111035 125700 133242 177656 222070 251400 266484 333105 444140 532968 555175 666210 888280 1110350 1332420 1665525 2220700 2664840 3331050 4441400 6662100 13324200