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10077409 is a prime number
BaseRepresentation
bin100110011100…
…010011100001
3200221222121101
4212130103201
510034434114
6555554401
7151441126
oct46342341
920858541
1010077409
115763341
12345ba01
13211ab84
1414a474d
15d40d74
hex99c4e1

10077409 has 2 divisors, whose sum is σ = 10077410. Its totient is φ = 10077408.

The previous prime is 10077407. The next prime is 10077421. The reversal of 10077409 is 90477001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 91809 = 3160^2 + 303^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077409 - 21 = 10077407 is a prime.

Together with 10077407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10077401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038704 + 5038705.

It is an arithmetic number, because the mean of its divisors is an integer number (5038705).

Almost surely, 210077409 is an apocalyptic number.

It is an amenable number.

10077409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077409 is an equidigital number, since it uses as much as digits as its factorization.

10077409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 10077409 is about 3174.4935029072. The cubic root of 10077409 is about 215.9979495119.

The spelling of 10077409 in words is "ten million, seventy-seven thousand, four hundred nine".