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13003716 = 22311294379
BaseRepresentation
bin110001100110…
…101111000100
3220110122202010
4301212233010
511312104331
61142414220
7215346465
oct61465704
926418663
1013003716
117381980
124431370
132903b0b
141a26d6c
15121ce46
hexc66bc4

13003716 has 96 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 3669120.

The previous prime is 13003703. The next prime is 13003741. The reversal of 13003716 is 61730031.

13003716 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13003692 and 13003701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164565 + ... + 164643.

It is an arithmetic number, because the mean of its divisors is an integer number (369600).

Almost surely, 213003716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

13003716 is an abundant number, since it is smaller than the sum of its proper divisors (22477884).

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

13003716 is a wasteful number, since it uses less digits than its factorization.

13003716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 13003716 is about 3606.0665551262. The cubic root of 13003716 is about 235.1558706369.

Adding to 13003716 its reverse (61730031), we get a palindrome (74733747).

The spelling of 13003716 in words is "thirteen million, three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 43 44 58 66 79 86 87 116 129 132 158 172 174 237 258 316 319 348 473 474 516 638 869 946 948 957 1247 1276 1419 1738 1892 1914 2291 2494 2607 2838 3397 3476 3741 3828 4582 4988 5214 5676 6794 6873 7482 9164 10191 10428 13588 13717 13746 14964 20382 25201 27434 27492 37367 40764 41151 50402 54868 74734 75603 82302 98513 100804 112101 149468 151206 164604 197026 224202 295539 302412 394052 448404 591078 1083643 1182156 2167286 3250929 4334572 6501858 13003716