Search a number
-
+
13282260 = 22353137193
BaseRepresentation
bin110010101010…
…101111010100
3220222210211120
4302222233110
511400013020
61152403540
7220616535
oct62525724
926883746
1013282260
117552182
1245465b0
1329a0834
141a9a68c
151275740
hexcaabd4

13282260 has 96 divisors (see below), whose sum is σ = 39631872. Its totient is φ = 3317760.

The previous prime is 13282259. The next prime is 13282267. The reversal of 13282260 is 6228231.

It is a self number, because there is not a number n which added to its sum of digits gives 13282260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13282267) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68724 + ... + 68916.

It is an arithmetic number, because the mean of its divisors is an integer number (412832).

Almost surely, 213282260 is an apocalyptic number.

13282260 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 13282260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815936).

13282260 is an abundant number, since it is smaller than the sum of its proper divisors (26349612).

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

13282260 is a wasteful number, since it uses less digits than its factorization.

13282260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13282260 is about 3644.4835025007. The cubic root of 13282260 is about 236.8230622246.

The spelling of 13282260 in words is "thirteen million, two hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 193 222 310 370 372 386 444 465 555 579 620 740 772 930 965 1110 1147 1158 1860 1930 2220 2294 2316 2895 3441 3860 4588 5735 5790 5983 6882 7141 11470 11580 11966 13764 14282 17205 17949 21423 22940 23932 28564 29915 34410 35705 35898 42846 59830 68820 71410 71796 85692 89745 107115 119660 142820 179490 214230 221371 358980 428460 442742 664113 885484 1106855 1328226 2213710 2656452 3320565 4427420 6641130 13282260