Search a number
-
+
13649057 is a prime number
BaseRepresentation
bin110100000100…
…010010100001
3221200102222122
4310010102201
511443232212
61204314025
7224005112
oct64042241
927612878
1013649057
117782814
1246a2915
132a9b786
141b54209
1512e9272
hexd044a1

13649057 has 2 divisors, whose sum is σ = 13649058. Its totient is φ = 13649056.

The previous prime is 13649047. The next prime is 13649059. The reversal of 13649057 is 75094631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11621281 + 2027776 = 3409^2 + 1424^2 .

It is a cyclic number.

It is not a de Polignac number, because 13649057 - 214 = 13632673 is a prime.

Together with 13649059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13649059) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6824528 + 6824529.

It is an arithmetic number, because the mean of its divisors is an integer number (6824529).

Almost surely, 213649057 is an apocalyptic number.

It is an amenable number.

13649057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13649057 is an equidigital number, since it uses as much as digits as its factorization.

13649057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 13649057 is about 3694.4630191680. The cubic root of 13649057 is about 238.9832974445.

The spelling of 13649057 in words is "thirteen million, six hundred forty-nine thousand, fifty-seven".