Search a number
-
+
13724761 is a prime number
BaseRepresentation
bin110100010110…
…110001011001
3221211021211111
4310112301121
512003143021
61210100321
7224441611
oct64266131
927737744
1013724761
117824686
12471a6a1
132ac707b
141b73a41
1513118e1
hexd16c59

13724761 has 2 divisors, whose sum is σ = 13724762. Its totient is φ = 13724760.

The previous prime is 13724759. The next prime is 13724771. The reversal of 13724761 is 16742731.

13724761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6990736 + 6734025 = 2644^2 + 2595^2 .

It is a cyclic number.

It is not a de Polignac number, because 13724761 - 21 = 13724759 is a prime.

Together with 13724759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13724701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6862380 + 6862381.

It is an arithmetic number, because the mean of its divisors is an integer number (6862381).

Almost surely, 213724761 is an apocalyptic number.

It is an amenable number.

13724761 is a deficient number, since it is larger than the sum of its proper divisors (1).

13724761 is an equidigital number, since it uses as much as digits as its factorization.

13724761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 31.

The square root of 13724761 is about 3704.6944543376. The cubic root of 13724761 is about 239.4243204734.

The spelling of 13724761 in words is "thirteen million, seven hundred twenty-four thousand, seven hundred sixty-one".