Search a number
-
+
1075428684 = 2233111138011
BaseRepresentation
bin100000000011001…
…1011110101001100
32202221121102211000
41000012123311030
54200302204214
6254414100300
735435664411
oct10006336514
92687542730
101075428684
11502062540
122601aa690
13141a59945
14a2b84108
1564630809
hex4019bd4c

1075428684 has 96 divisors (see below), whose sum is σ = 3068916480. Its totient is φ = 322963200.

The previous prime is 1075428661. The next prime is 1075428701. The reversal of 1075428684 is 4868245701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130239 + ... + 138249.

It is an arithmetic number, because the mean of its divisors is an integer number (31967880).

Almost surely, 21075428684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075428684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534458240).

1075428684 is an abundant number, since it is smaller than the sum of its proper divisors (1993487796).

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

1075428684 is a wasteful number, since it uses less digits than its factorization.

1075428684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1075428684 is about 32793.7293396161. The cubic root of 1075428684 is about 1024.5359577852.

The spelling of 1075428684 in words is "one billion, seventy-five million, four hundred twenty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 113 132 198 226 297 339 396 452 594 678 1017 1188 1243 1356 2034 2486 3051 3729 4068 4972 6102 7458 8011 11187 12204 14916 16022 22374 24033 32044 33561 44748 48066 67122 72099 88121 96132 134244 144198 176242 216297 264363 288396 352484 432594 528726 793089 865188 905243 1057452 1586178 1810486 2379267 2715729 3172356 3620972 4758534 5431458 8147187 9517068 9957673 10862916 16294374 19915346 24441561 29873019 32588748 39830692 48883122 59746038 89619057 97766244 119492076 179238114 268857171 358476228 537714342 1075428684