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13200660 = 223251159113
BaseRepresentation
bin110010010110…
…110100010100
3220211122220100
4302112310110
511334410120
61150534100
7220126614
oct62266424
926748810
1013200660
1174a6940
124507330
132972655
141a78a44
15125b490
hexc96d14

13200660 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 3118080.

The previous prime is 13200659. The next prime is 13200667. The reversal of 13200660 is 6600231.

It is a happy number.

13200660 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 660 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200667) 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 47 ways as a sum of consecutive naturals, for example, 116764 + ... + 116876.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 213200660 is an apocalyptic number.

13200660 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 13200660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

13200660 is an abundant number, since it is smaller than the sum of its proper divisors (31615020).

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

13200660 is a wasteful number, since it uses less digits than its factorization.

13200660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

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

The square root of 13200660 is about 3633.2712532923. The cubic root of 13200660 is about 236.3370889137.

Adding to 13200660 its reverse (6600231), we get a palindrome (19800891).

The spelling of 13200660 in words is "thirteen million, two hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 113 118 132 165 177 180 198 220 226 236 295 330 339 354 396 452 495 531 565 590 649 660 678 708 885 990 1017 1062 1130 1180 1243 1298 1356 1695 1770 1947 1980 2034 2124 2260 2486 2596 2655 3245 3390 3540 3729 3894 4068 4972 5085 5310 5841 6215 6490 6667 6780 7458 7788 9735 10170 10620 11187 11682 12430 12980 13334 14916 18645 19470 20001 20340 22374 23364 24860 26668 29205 33335 37290 38940 40002 44748 55935 58410 60003 66670 73337 74580 80004 100005 111870 116820 120006 133340 146674 200010 220011 223740 240012 293348 300015 366685 400020 440022 600030 660033 733370 880044 1100055 1200060 1320066 1466740 2200110 2640132 3300165 4400220 6600330 13200660