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10457653 is a prime number
BaseRepresentation
bin100111111001…
…001000110101
3201200022012111
4213321020311
510134121103
61012051021
7154613533
oct47711065
921608174
1010457653
1159a2a98
123603a71
132221c7b
141563153
15db886d
hex9f9235

10457653 has 2 divisors, whose sum is σ = 10457654. Its totient is φ = 10457652.

The previous prime is 10457647. The next prime is 10457683. The reversal of 10457653 is 35675401.

10457653 is digitally balanced in base 3, because in such base 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., 6160324 + 4297329 = 2482^2 + 2073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10457653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10457683) 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, 5228826 + 5228827.

It is an arithmetic number, because the mean of its divisors is an integer number (5228827).

Almost surely, 210457653 is an apocalyptic number.

It is an amenable number.

10457653 is a deficient number, since it is larger than the sum of its proper divisors (1).

10457653 is an equidigital number, since it uses as much as digits as its factorization.

10457653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 10457653 is about 3233.8294636545. The cubic root of 10457653 is about 218.6811802016.

The spelling of 10457653 in words is "ten million, four hundred fifty-seven thousand, six hundred fifty-three".