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10284509 is a prime number
BaseRepresentation
bin100111001110…
…110111011101
3201100111200202
4213032313131
510113101014
61004233245
7153262664
oct47166735
921314622
1010284509
1158949a4
12353b825
132191211
141519ddb
15d823de
hex9ceddd

10284509 has 2 divisors, whose sum is σ = 10284510. Its totient is φ = 10284508.

The previous prime is 10284497. The next prime is 10284511. The reversal of 10284509 is 90548201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8791225 + 1493284 = 2965^2 + 1222^2 .

It is an emirp because it is prime and its reverse (90548201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10284509 is a prime.

It is a super-2 number, since 2×102845092 = 211542250742162, which contains 22 as substring.

Together with 10284511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10284559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5142254 + 5142255.

It is an arithmetic number, because the mean of its divisors is an integer number (5142255).

Almost surely, 210284509 is an apocalyptic number.

It is an amenable number.

10284509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10284509 is an equidigital number, since it uses as much as digits as its factorization.

10284509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10284509 is about 3206.9469905192. The cubic root of 10284509 is about 217.4675796130.

The spelling of 10284509 in words is "ten million, two hundred eighty-four thousand, five hundred nine".