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10457089 is a prime number
BaseRepresentation
bin100111111001…
…000000000001
3201200021102121
4213321000001
510134111324
61012044241
7154612066
oct47710001
921607377
1010457089
1159a2625
123603681
132221936
141562c6d
15db85e4
hex9f9001

10457089 has 2 divisors, whose sum is σ = 10457090. Its totient is φ = 10457088.

The previous prime is 10457063. The next prime is 10457099. The reversal of 10457089 is 98075401.

It is a happy number.

10457089 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5326864 + 5130225 = 2308^2 + 2265^2 .

It is an emirp because it is prime and its reverse (98075401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10457089 - 27 = 10456961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10457099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5228544 + 5228545.

It is an arithmetic number, because the mean of its divisors is an integer number (5228545).

It is a Proth number, since it is equal to 2553 ⋅ 212 + 1 and 2553 < 212.

Almost surely, 210457089 is an apocalyptic number.

It is an amenable number.

10457089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10457089 is an equidigital number, since it uses as much as digits as its factorization.

10457089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 10457089 is about 3233.7422593645. The cubic root of 10457089 is about 218.6772488414.

The spelling of 10457089 in words is "ten million, four hundred fifty-seven thousand, eighty-nine".