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1027058669 = 72138091993
BaseRepresentation
bin111101001101111…
…010101111101101
32122120120222121222
4331031322233231
54100411334134
6245525233125
734310566100
oct7515725755
92576528558
101027058669
1148782541a
12247b627a5
13134a22430
149a592737
1560278a2e
hex3d37abed

1027058669 has 24 divisors (see below), whose sum is σ = 1288881720. Its totient is φ = 811206144.

The previous prime is 1027058633. The next prime is 1027058671. The reversal of 1027058669 is 9668507201.

It can be written as a sum of positive squares in 4 ways, for example, as 266016100 + 761042569 = 16310^2 + 27587^2 .

It is not a de Polignac number, because 1027058669 - 28 = 1027058413 is a prime.

It is a super-2 number, since 2×10270586692 = 2109699019136103122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027058969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514337 + ... + 516329.

It is an arithmetic number, because the mean of its divisors is an integer number (53703405).

Almost surely, 21027058669 is an apocalyptic number.

It is an amenable number.

1027058669 is a deficient number, since it is larger than the sum of its proper divisors (261823051).

1027058669 is a wasteful number, since it uses less digits than its factorization.

1027058669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 1027058669 is about 32047.7560680931. The cubic root of 1027058669 is about 1008.9394052424.

The spelling of 1027058669 in words is "one billion, twenty-seven million, fifty-eight thousand, six hundred sixty-nine".

Divisors: 1 7 13 49 91 637 809 1993 5663 10517 13951 25909 39641 73619 97657 181363 515333 1269541 1612337 11286359 20960381 79004513 146722667 1027058669