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1066015332 = 2232113262049
BaseRepresentation
bin111111100010100…
…001101001100100
32202021220012010100
4333202201221210
54140344442312
6253440224100
735262660264
oct7742415144
92667805110
101066015332
114a7813108
1225900b030
1313cb12105
14a18137a4
15638c15dc
hex3f8a1a64

1066015332 has 36 divisors (see below), whose sum is σ = 2718506700. Its totient is φ = 352192512.

The previous prime is 1066015297. The next prime is 1066015361. The reversal of 1066015332 is 2335106601.

1066015332 is a `hidden beast` number, since 1 + 0 + 6 + 601 + 53 + 3 + 2 = 666.

1066015332 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 14699556 + 1051315776 = 3834^2 + 32424^2 .

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

It is a super-2 number, since 2×10660153322 = 2272777376118140448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066015296 and 1066015305.

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, 126957 + ... + 135092.

It is an arithmetic number, because the mean of its divisors is an integer number (75514075).

Almost surely, 21066015332 is an apocalyptic number.

1066015332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066015332 is an abundant number, since it is smaller than the sum of its proper divisors (1652491368).

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

1066015332 is a wasteful number, since it uses less digits than its factorization.

1066015332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262172 (or 262167 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1066015332 is about 32649.8902295245. The cubic root of 1066015332 is about 1021.5378992223.

The spelling of 1066015332 in words is "one billion, sixty-six million, fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 262049 524098 786147 1048196 1572294 2358441 3144588 4716882 9433764 29611537 59223074 88834611 118446148 177669222 266503833 355338444 533007666 1066015332