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1040107769 is a prime number
BaseRepresentation
bin111101111111101…
…100100011111001
32200111010221121222
4331333230203321
54112231422034
6251113041425
734526525111
oct7577544371
92614127558
101040107769
114941283a8
122503b6275
13137640aac
149c1cc041
15614a512e
hex3dfec8f9

1040107769 has 2 divisors, whose sum is σ = 1040107770. Its totient is φ = 1040107768.

The previous prime is 1040107763. The next prime is 1040107801. The reversal of 1040107769 is 9677010401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1039224169 + 883600 = 32237^2 + 940^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040107769 - 216 = 1040042233 is a prime.

It is a super-3 number, since 3×10401077693 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1040107763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520053884 + 520053885.

It is an arithmetic number, because the mean of its divisors is an integer number (520053885).

Almost surely, 21040107769 is an apocalyptic number.

It is an amenable number.

1040107769 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040107769 is an equidigital number, since it uses as much as digits as its factorization.

1040107769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 1040107769 is about 32250.7018373244. The cubic root of 1040107769 is about 1013.1943985011.

The spelling of 1040107769 in words is "one billion, forty million, one hundred seven thousand, seven hundred sixty-nine".