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1028127029 = 3741677737
BaseRepresentation
bin111101010001111…
…111100100110101
32122122121021010212
4331101333210311
54101200031104
6250004155205
734322635616
oct7521774465
92578537125
101028127029
11488395066
12248398b05
131350077b7
149a78dc0d
15603da36e
hex3d47f935

1028127029 has 8 divisors (see below), whose sum is σ = 1081669848. Its totient is φ = 975939840.

The previous prime is 1028127007. The next prime is 1028127077. The reversal of 1028127029 is 9207218201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 325983025 + 702144004 = 18055^2 + 26498^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1028127029 - 212 = 1028122933 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1028126986 and 1028127004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028127229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337352 + ... + 340385.

It is an arithmetic number, because the mean of its divisors is an integer number (135208731).

Almost surely, 21028127029 is an apocalyptic number.

It is an amenable number.

1028127029 is a deficient number, since it is larger than the sum of its proper divisors (53542819).

1028127029 is an equidigital number, since it uses as much as digits as its factorization.

1028127029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677815.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 1028127029 is about 32064.4199853981. The cubic root of 1028127029 is about 1009.2891213781.

The spelling of 1028127029 in words is "one billion, twenty-eight million, one hundred twenty-seven thousand, twenty-nine".

Divisors: 1 37 41 1517 677737 25076269 27787217 1028127029