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10067969 is a prime number
BaseRepresentation
bin100110011010…
…000000000001
3200221111122202
4212122000001
510034133334
6555442545
7151401452
oct46320001
920844582
1010067969
11575723a
123456455
1321167a2
1414a1129
15d3d17e
hex99a001

10067969 has 2 divisors, whose sum is σ = 10067970. Its totient is φ = 10067968.

The previous prime is 10067957. The next prime is 10067971. The reversal of 10067969 is 96976001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 82369 = 3160^2 + 287^2 .

It is a cyclic number.

It is not a de Polignac number, because 10067969 - 28 = 10067713 is a prime.

It is a super-2 number, since 2×100679692 = 202727999569922, which contains 22 as substring.

Together with 10067971, 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 (10067999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5033984 + 5033985.

It is an arithmetic number, because the mean of its divisors is an integer number (5033985).

It is a Proth number, since it is equal to 1229 ⋅ 213 + 1 and 1229 < 213.

Almost surely, 210067969 is an apocalyptic number.

It is an amenable number.

10067969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067969 is an equidigital number, since it uses as much as digits as its factorization.

10067969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 10067969 is about 3173.0063031768. The cubic root of 10067969 is about 215.9304831734.

The spelling of 10067969 in words is "ten million, sixty-seven thousand, nine hundred sixty-nine".