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13628929 is a prime number
BaseRepresentation
bin110011111111…
…011000000001
3221122102101011
4303333120001
511442111204
61204040521
7223562326
oct63773001
927572334
1013628929
117769686
124693141
132a92572
141b4ab4d
1512e3304
hexcff601

13628929 has 2 divisors, whose sum is σ = 13628930. Its totient is φ = 13628928.

The previous prime is 13628921. The next prime is 13628957. The reversal of 13628929 is 92982631.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11068929 + 2560000 = 3327^2 + 1600^2 .

It is a cyclic number.

It is not a de Polignac number, because 13628929 - 23 = 13628921 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13628891 and 13628900.

It is not a weakly prime, because it can be changed into another prime (13628921) 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 as a sum of consecutive naturals, namely, 6814464 + 6814465.

It is an arithmetic number, because the mean of its divisors is an integer number (6814465).

Almost surely, 213628929 is an apocalyptic number.

It is an amenable number.

13628929 is a deficient number, since it is larger than the sum of its proper divisors (1).

13628929 is an equidigital number, since it uses as much as digits as its factorization.

13628929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 40.

The square root of 13628929 is about 3691.7379376115. The cubic root of 13628929 is about 238.8657649712.

The spelling of 13628929 in words is "thirteen million, six hundred twenty-eight thousand, nine hundred twenty-nine".