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10506989 is a prime number
BaseRepresentation
bin101000000101…
…001011101101
3201202210212202
4220011023231
510142210424
61013111245
7155210423
oct50051355
921683782
1010506989
115a27069
123628525
13223b56c
141577113
15dc82ae
hexa052ed

10506989 has 2 divisors, whose sum is σ = 10506990. Its totient is φ = 10506988.

The previous prime is 10506983. The next prime is 10507027. The reversal of 10506989 is 98960501.

It is an a-pointer prime, because the next prime (10507027) can be obtained adding 10506989 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9351364 + 1155625 = 3058^2 + 1075^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506989 - 28 = 10506733 is a prime.

It is a super-2 number, since 2×105069892 = 220793635692242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10506983) 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, 5253494 + 5253495.

It is an arithmetic number, because the mean of its divisors is an integer number (5253495).

Almost surely, 210506989 is an apocalyptic number.

It is an amenable number.

10506989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506989 is an equidigital number, since it uses as much as digits as its factorization.

10506989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 10506989 is about 3241.4485959213. The cubic root of 10506989 is about 219.0245310747.

The spelling of 10506989 in words is "ten million, five hundred six thousand, nine hundred eighty-nine".