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13248340 = 2257173547
BaseRepresentation
bin110010100010…
…011101010100
3220221002022021
4302202131110
511342421330
61151542524
7220415620
oct62423524
926832267
1013248340
117529746
12452aa44
13298b271
141a8c180
15126a67a
hexca2754

13248340 has 48 divisors (see below), whose sum is σ = 32038272. Its totient is φ = 4507776.

The previous prime is 13248329. The next prime is 13248341. The reversal of 13248340 is 4384231.

13248340 = T245 + T246 + ... + T454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248341) 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 15 ways as a sum of consecutive naturals, for example, 23947 + ... + 24493.

It is an arithmetic number, because the mean of its divisors is an integer number (667464).

Almost surely, 213248340 is an apocalyptic number.

13248340 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 13248340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019136).

13248340 is an abundant number, since it is smaller than the sum of its proper divisors (18789932).

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

13248340 is a wasteful number, since it uses less digits than its factorization.

13248340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 13248340 is about 3639.8269189619. The cubic root of 13248340 is about 236.6212921895.

The spelling of 13248340 in words is "thirteen million, two hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 547 692 865 1094 1211 1730 2188 2422 2735 3460 3829 4844 5470 6055 7658 10940 12110 15316 19145 24220 38290 76580 94631 189262 378524 473155 662417 946310 1324834 1892620 2649668 3312085 6624170 13248340