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10026629 is a prime number
BaseRepresentation
bin100110001111…
…111010000101
3200212101221122
4212033322011
510031323004
6554523325
7151140104
oct46177205
920771848
1010026629
115729178
123436545
132100a22
14149003b
15d30cbe
hex98fe85

10026629 has 2 divisors, whose sum is σ = 10026630. Its totient is φ = 10026628.

The previous prime is 10026607. The next prime is 10026641. The reversal of 10026629 is 92662001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9597604 + 429025 = 3098^2 + 655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10026629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10026598 and 10026607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10026659) 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, 5013314 + 5013315.

It is an arithmetic number, because the mean of its divisors is an integer number (5013315).

Almost surely, 210026629 is an apocalyptic number.

It is an amenable number.

10026629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10026629 is an equidigital number, since it uses as much as digits as its factorization.

10026629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10026629 is about 3166.4852755066. The cubic root of 10026629 is about 215.6345343120.

The spelling of 10026629 in words is "ten million, twenty-six thousand, six hundred twenty-nine".