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1066832892 = 2232172237817
BaseRepresentation
bin111111100101101…
…001001111111100
32202100102201121100
4333211221033330
54141102123032
6253505533100
735302633656
oct7745511774
92670381540
101066832892
114a8221384
12259344190
1314003a288
14a19876d6
15639d397c
hex3f9693fc

1066832892 has 72 divisors (see below), whose sum is σ = 2868518016. Its totient is φ = 333149184.

The previous prime is 1066832891. The next prime is 1066832917. The reversal of 1066832892 is 2982386601.

It is a super-2 number, since 2×10668328922 = 2276264838906167328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066832891) 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, 132568 + ... + 140384.

It is an arithmetic number, because the mean of its divisors is an integer number (39840528).

Almost surely, 21066832892 is an apocalyptic number.

1066832892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066832892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434259008).

1066832892 is an abundant number, since it is smaller than the sum of its proper divisors (1801685124).

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

1066832892 is a wasteful number, since it uses less digits than its factorization.

1066832892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1066832892 is about 32662.4079332801. The cubic root of 1066832892 is about 1021.7989821183.

The spelling of 1066832892 in words is "one billion, sixty-six million, eight hundred thirty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 223 306 446 612 669 892 1338 2007 2676 3791 4014 7582 7817 8028 11373 15164 15634 22746 23451 31268 34119 45492 46902 68238 70353 93804 132889 136476 140706 265778 281412 398667 531556 797334 1196001 1594668 1743191 2392002 3486382 4784004 5229573 6972764 10459146 15688719 20918292 29634247 31377438 59268494 62754876 88902741 118536988 177805482 266708223 355610964 533416446 1066832892