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13260312 = 23321331457
BaseRepresentation
bin110010100101…
…011000011000
3220221200201200
4302211120120
511343312222
61152114200
7220465542
oct62453030
926850650
1013260312
11753773a
124535960
132993850
141a92692
15126deac
hexca5618

13260312 has 96 divisors (see below), whose sum is σ = 40010880. Its totient is φ = 3939840.

The previous prime is 13260311. The next prime is 13260341. The reversal of 13260312 is 21306231.

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 (13260311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28788 + ... + 29244.

It is an arithmetic number, because the mean of its divisors is an integer number (416780).

Almost surely, 213260312 is an apocalyptic number.

13260312 is a gapful number since it is divisible by the number (12) 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 13260312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20005440).

13260312 is an abundant number, since it is smaller than the sum of its proper divisors (26750568).

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

13260312 is a wasteful number, since it uses less digits than its factorization.

13260312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

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

The square root of 13260312 is about 3641.4711312875. The cubic root of 13260312 is about 236.6925458266.

Adding to 13260312 its reverse (21306231), we get a palindrome (34566543).

The spelling of 13260312 in words is "thirteen million, two hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 457 468 558 744 806 914 936 1116 1209 1371 1612 1828 2232 2418 2742 3224 3627 3656 4113 4836 5484 5941 7254 8226 9672 10968 11882 14167 14508 16452 17823 23764 28334 29016 32904 35646 42501 47528 53469 56668 71292 85002 106938 113336 127503 142584 170004 184171 213876 255006 340008 368342 427752 510012 552513 736684 1020024 1105026 1473368 1657539 2210052 3315078 4420104 6630156 13260312