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13281450 = 23527213139
BaseRepresentation
bin110010101010…
…100010101010
3220222202201120
4302222202222
511400001300
61152400110
7220614300
oct62524252
926882646
1013281450
117551606
124546036
1329a0360
141a9a270
1512753a0
hexcaa8aa

13281450 has 144 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 2782080.

The previous prime is 13281427. The next prime is 13281451. The reversal of 13281450 is 5418231.

It is a self number, because there is not a number n which added to its sum of digits gives 13281450.

It is not an unprimeable number, because it can be changed into a prime (13281451) 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 71 ways as a sum of consecutive naturals, for example, 95481 + ... + 95619.

It is an arithmetic number, because the mean of its divisors is an integer number (288610).

Almost surely, 213281450 is an apocalyptic number.

13281450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13281450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

13281450 is an abundant number, since it is smaller than the sum of its proper divisors (28278390).

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

13281450 is a wasteful number, since it uses less digits than its factorization.

13281450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13281450 is about 3644.3723739486. The cubic root of 13281450 is about 236.8182480193.

Adding to 13281450 its reverse (5418231), we get a palindrome (18699681).

It can be divided in two parts, 13281 and 450, that added together give a palindrome (13731).

The spelling of 13281450 in words is "thirteen million, two hundred eighty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 65 70 75 78 91 98 105 130 139 147 150 175 182 195 210 245 273 278 294 325 350 390 417 455 490 525 546 637 650 695 735 834 910 973 975 1050 1225 1274 1365 1390 1470 1807 1911 1946 1950 2085 2275 2450 2730 2919 3185 3475 3614 3675 3822 4170 4550 4865 5421 5838 6370 6811 6825 6950 7350 9035 9555 9730 10425 10842 12649 13622 13650 14595 15925 18070 19110 20433 20850 24325 25298 27105 29190 31850 34055 37947 40866 45175 47775 48650 54210 63245 68110 72975 75894 88543 90350 95550 102165 126490 135525 145950 170275 177086 189735 204330 265629 271050 316225 340550 379470 442715 510825 531258 632450 885430 948675 1021650 1328145 1897350 2213575 2656290 4427150 6640725 13281450