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10640029 is a prime number
BaseRepresentation
bin101000100101…
…101010011101
3202000120101011
4220211222131
510210440104
61020015221
7156303331
oct50455235
922016334
1010640029
116008014
123691511
132286c9a
1415ad7c1
15e02904
hexa25a9d

10640029 has 2 divisors, whose sum is σ = 10640030. Its totient is φ = 10640028.

The previous prime is 10640023. The next prime is 10640051. The reversal of 10640029 is 92004601.

10640029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10640051) can be obtained adding 10640029 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5359225 + 5280804 = 2315^2 + 2298^2 .

It is a cyclic number.

It is not a de Polignac number, because 10640029 - 213 = 10631837 is a prime.

It is a super-2 number, since 2×106400292 = 226420434241682, which contains 22 as substring.

It is a Chen prime.

It is equal to p704254 and since 10640029 and 704254 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10639991 and 10640009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10640023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5320014 + 5320015.

It is an arithmetic number, because the mean of its divisors is an integer number (5320015).

Almost surely, 210640029 is an apocalyptic number.

It is an amenable number.

10640029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10640029 is an equidigital number, since it uses as much as digits as its factorization.

10640029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10640029 is about 3261.9057313172. The cubic root of 10640029 is about 219.9450896017.

The spelling of 10640029 in words is "ten million, six hundred forty thousand, twenty-nine".