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1066115124 = 2232281105389
BaseRepresentation
bin111111100010111…
…010000000110100
32202022002021000100
4333202322000310
54140411140444
6253442314100
735263554234
oct7742720064
92668067010
101066115124
114a7881088
12259058930
1313cb48669
14a183bcc4
15638e0e69
hex3f8ba034

1066115124 has 36 divisors (see below), whose sum is σ = 2704518180. Its totient is φ = 354103680.

The previous prime is 1066115093. The next prime is 1066115131. The reversal of 1066115124 is 4215116601.

1066115124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 802702224 + 263412900 = 28332^2 + 16230^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10661151242 = 2273202915243070752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42579 + ... + 62810.

It is an arithmetic number, because the mean of its divisors is an integer number (75125505).

Almost surely, 21066115124 is an apocalyptic number.

It is an amenable number.

1066115124 is an abundant number, since it is smaller than the sum of its proper divisors (1638403056).

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

1066115124 is a wasteful number, since it uses less digits than its factorization.

1066115124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105680 (or 105675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1066115124 is about 32651.4184071688. The cubic root of 1066115124 is about 1021.5697743514.

The spelling of 1066115124 in words is "one billion, sixty-six million, one hundred fifteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 105389 210778 316167 421556 632334 948501 1264668 1897002 3794004 29614309 59228618 88842927 118457236 177685854 266528781 355371708 533057562 1066115124