Search a number
-
+
1066505328 = 243271058041
BaseRepresentation
bin111111100100011…
…001010001110000
32202022211002021100
4333210121101300
54141011132303
6253454524400
735300100660
oct7744312160
92668732240
101066505328
114a8018269
12259206700
1313cc54155
14a19001a0
156396b8a3
hex3f919470

1066505328 has 60 divisors (see below), whose sum is σ = 3411127408. Its totient is φ = 304715520.

The previous prime is 1066505327. The next prime is 1066505339. The reversal of 1066505328 is 8235056601.

1066505328 is a `hidden beast` number, since 10 + 66 + 50 + 532 + 8 = 666.

1066505328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10665053282 = 2274867229304775168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1066505292 and 1066505301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066505327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528013 + ... + 530028.

Almost surely, 21066505328 is an apocalyptic number.

1066505328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1066505328 is an abundant number, since it is smaller than the sum of its proper divisors (2344622080).

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

1066505328 is a wasteful number, since it uses less digits than its factorization.

1066505328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058062 (or 1058053 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1066505328 is about 32657.3931598957. The cubic root of 1066505328 is about 1021.6943925347.

The spelling of 1066505328 in words is "one billion, sixty-six million, five hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1058041 2116082 3174123 4232164 6348246 7406287 8464328 9522369 12696492 14812574 16928656 19044738 22218861 25392984 29625148 38089476 44437722 50785968 59250296 66656583 76178952 88875444 118500592 133313166 152357904 177750888 266626332 355501776 533252664 1066505328