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1066120096 = 25197124697
BaseRepresentation
bin111111100010111…
…011001110100000
32202022002111211111
4333202323032200
54140411320341
6253442353104
735263604566
oct7742731640
92668074744
101066120096
114a7884898
1225905b794
1313cb4a9c2
14a183da36
15638e2681
hex3f8bb3a0

1066120096 has 48 divisors (see below), whose sum is σ = 2240602560. Its totient is φ = 497871360.

The previous prime is 1066120079. The next prime is 1066120117. The reversal of 1066120096 is 6900216601.

It is a super-2 number, since 2×10661200962 = 2273224118190098432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30820 + ... + 55516.

It is an arithmetic number, because the mean of its divisors is an integer number (46679220).

Almost surely, 21066120096 is an apocalyptic number.

1066120096 is a gapful number since it is divisible by the number (16) 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 1066120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120301280).

1066120096 is an abundant number, since it is smaller than the sum of its proper divisors (1174482464).

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

1066120096 is a wasteful number, since it uses less digits than its factorization.

1066120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24797 (or 24789 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1066120096 is about 32651.4945446606. The cubic root of 1066120096 is about 1021.5713624342.

Adding to 1066120096 its reverse (6900216601), we get a palindrome (7966336697).

The spelling of 1066120096 in words is "one billion, sixty-six million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 568 608 1136 1349 2272 2698 5396 10792 21584 24697 43168 49394 98788 197576 395152 469243 790304 938486 1753487 1876972 3506974 3753944 7013948 7507888 14027896 15015776 28055792 33316253 56111584 66632506 133265012 266530024 533060048 1066120096