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13629281 is a prime number
BaseRepresentation
bin110011111111…
…011101100001
3221122102212012
4303333131201
511442114111
61204042305
7223563341
oct63773541
927572765
1013629281
117769976
124693395
132a92783
141b4ad21
1512e348b
hexcff761

13629281 has 2 divisors, whose sum is σ = 13629282. Its totient is φ = 13629280.

The previous prime is 13629247. The next prime is 13629299. The reversal of 13629281 is 18292631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10240000 + 3389281 = 3200^2 + 1841^2 .

It is a cyclic number.

It is not a de Polignac number, because 13629281 - 210 = 13628257 is a prime.

It is a super-2 number, since 2×136292812 = 371514601153922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13629211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814640 + 6814641.

It is an arithmetic number, because the mean of its divisors is an integer number (6814641).

Almost surely, 213629281 is an apocalyptic number.

It is an amenable number.

13629281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13629281 is an equidigital number, since it uses as much as digits as its factorization.

13629281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 32.

The square root of 13629281 is about 3691.7856113269. The cubic root of 13629281 is about 238.8678213819.

The spelling of 13629281 in words is "thirteen million, six hundred twenty-nine thousand, two hundred eighty-one".