Search a number
-
+
1027058192 = 242314918731
BaseRepresentation
bin111101001101111…
…010101000010000
32122120120221222022
4331031322220100
54100411330232
6245525231012
734310564516
oct7515725020
92576527868
101027058192
11487825026
12247b62468
13134a22154
149a5924b6
1560278812
hex3d37aa10

1027058192 has 40 divisors (see below), whose sum is σ = 2090491200. Its totient is φ = 487879040.

The previous prime is 1027058191. The next prime is 1027058231. The reversal of 1027058192 is 2918507201.

1027058192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1027058191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45467 + ... + 64197.

It is an arithmetic number, because the mean of its divisors is an integer number (52262280).

Almost surely, 21027058192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027058192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045245600).

1027058192 is an abundant number, since it is smaller than the sum of its proper divisors (1063433008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1027058192 is a wasteful number, since it uses less digits than its factorization.

1027058192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18911 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 1027058192 is about 32047.7486260736. The cubic root of 1027058192 is about 1008.9392490475.

The spelling of 1027058192 in words is "one billion, twenty-seven million, fifty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 92 149 184 298 368 596 1192 2384 3427 6854 13708 18731 27416 37462 54832 74924 149848 299696 430813 861626 1723252 2790919 3446504 5581838 6893008 11163676 22327352 44654704 64191137 128382274 256764548 513529096 1027058192