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10067249 is a prime number
BaseRepresentation
bin100110011001…
…110100110001
3200221110200002
4212121310301
510034122444
6555435345
7151366403
oct46316461
920843602
1010067249
115756745
123455b55
13211636a
1414a0b73
15d3cd4e
hex999d31

10067249 has 2 divisors, whose sum is σ = 10067250. Its totient is φ = 10067248.

The previous prime is 10067243. The next prime is 10067251. The reversal of 10067249 is 94276001.

10067249 is digitally balanced in base 2, 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., 9193024 + 874225 = 3032^2 + 935^2 .

It is a cyclic number.

It is not a de Polignac number, because 10067249 - 216 = 10001713 is a prime.

Together with 10067251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10067243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5033624 + 5033625.

It is an arithmetic number, because the mean of its divisors is an integer number (5033625).

Almost surely, 210067249 is an apocalyptic number.

It is an amenable number.

10067249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067249 is an equidigital number, since it uses as much as digits as its factorization.

10067249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10067249 is about 3172.8928440778. The cubic root of 10067249 is about 215.9253357051.

The spelling of 10067249 in words is "ten million, sixty-seven thousand, two hundred forty-nine".