Search a number
-
+
13761313 = 1732801
BaseRepresentation
bin110100011111…
…101100100001
3221220010222021
4310133230201
512010330223
61210541441
7224653306
oct64375441
927803867
1013761313
11784a095
124737881
132b0a8b7
141b830ad
15131c65d
hexd1fb21

13761313 has 8 divisors (see below), whose sum is σ = 14626440. Its totient is φ = 12947200.

The previous prime is 13761289. The next prime is 13761323. The reversal of 13761313 is 31316731.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 11175649 = 1608^2 + 3343^2 .

It is a de Polignac number, because none of the positive numbers 2k-13761313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13761323) 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 7 ways as a sum of consecutive naturals, for example, 3513 + ... + 6313.

It is an arithmetic number, because the mean of its divisors is an integer number (1828305).

Almost surely, 213761313 is an apocalyptic number.

It is an amenable number.

13761313 is a deficient number, since it is larger than the sum of its proper divisors (865127).

13761313 is an frugal number, since it uses more digits than its factorization.

13761313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2818 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 13761313 is about 3709.6243745156. The cubic root of 13761313 is about 239.6366782757.

The spelling of 13761313 in words is "thirteen million, seven hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 17 289 2801 4913 47617 809489 13761313