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13132710 = 2325413559
BaseRepresentation
bin110010000110…
…001110100110
3220201012200200
4302012032212
511330221320
61145251330
7216424533
oct62061646
926635620
1013132710
11745a888
124493b46
13294a746
141a5bd8a
151246290
hexc863a6

13132710 has 48 divisors (see below), whose sum is σ = 34987680. Its totient is φ = 3415680.

The previous prime is 13132703. The next prime is 13132741. The reversal of 13132710 is 1723131.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1911 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (728910).

Almost surely, 213132710 is an apocalyptic number.

13132710 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 13132710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493840).

13132710 is an abundant number, since it is smaller than the sum of its proper divisors (21854970).

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

13132710 is a wasteful number, since it uses less digits than its factorization.

13132710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13132710 is about 3623.9081114178. The cubic root of 13132710 is about 235.9308784452.

Adding to 13132710 its reverse (1723131), we get a palindrome (14855841).

The spelling of 13132710 in words is "thirteen million, one hundred thirty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3559 3690 7118 10677 17795 21354 32031 35590 53385 64062 106770 145919 160155 291838 320310 437757 729595 875514 1313271 1459190 2188785 2626542 4377570 6566355 13132710