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13001716 = 22713231553
BaseRepresentation
bin110001100110…
…001111110100
3220110120000001
4301212033310
511312023331
61142401044
7215340610
oct61461764
926416001
1013001716
117380422
124430184
132902c30
141a26340
15121c561
hexc663f4

13001716 has 48 divisors (see below), whose sum is σ = 29240064. Its totient is φ = 4916736.

The previous prime is 13001683. The next prime is 13001717. The reversal of 13001716 is 61710031.

It is a happy number.

13001716 is a modest number, since divided by 1716 gives 1300 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13001693 and 13001702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001717) 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 15 ways as a sum of consecutive naturals, for example, 7596 + ... + 9148.

It is an arithmetic number, because the mean of its divisors is an integer number (609168).

Almost surely, 213001716 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 13001716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620032).

13001716 is an abundant number, since it is smaller than the sum of its proper divisors (16238348).

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

13001716 is a wasteful number, since it uses less digits than its factorization.

13001716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 13001716 is about 3605.7892339958. The cubic root of 13001716 is about 235.1438141895.

Adding to 13001716 its reverse (61710031), we get a palindrome (74711747).

The spelling of 13001716 in words is "thirteen million, one thousand, seven hundred sixteen".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 1553 2093 3106 4186 6212 8372 10871 20189 21742 35719 40378 43484 71438 80756 141323 142876 250033 282646 464347 500066 565292 928694 1000132 1857388 3250429 6500858 13001716