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10000873 is a prime number
BaseRepresentation
bin100110001001…
…100111101001
3200211002121201
4212021213221
510030011443
6554204201
7151002031
oct46114751
920732551
1010000873
115710893
123423661
1320c209c
1414848c1
15d2834d
hex9899e9

10000873 has 2 divisors, whose sum is σ = 10000874. Its totient is φ = 10000872.

The previous prime is 10000871. The next prime is 10000877. The reversal of 10000873 is 37800001.

10000873 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6210064 + 3790809 = 2492^2 + 1947^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000873 - 21 = 10000871 is a prime.

Together with 10000871, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10000873.

It is not a weakly prime, because it can be changed into another prime (10000871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000436 + 5000437.

It is an arithmetic number, because the mean of its divisors is an integer number (5000437).

Almost surely, 210000873 is an apocalyptic number.

It is an amenable number.

10000873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000873 is an equidigital number, since it uses as much as digits as its factorization.

10000873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10000873 is about 3162.4156905758. The cubic root of 10000873 is about 215.4497382257.

Adding to 10000873 its reverse (37800001), we get a palindrome (47800874).

The spelling of 10000873 in words is "ten million, eight hundred seventy-three", and thus it is an aban number.