Search a number
-
+
1083929136 = 2433141109163
BaseRepresentation
bin100000010011011…
…0111001000110000
32210112121022020120
41000212313020300
54204441213021
6255320210240
735601150153
oct10046671060
92715538216
101083929136
11506939004
12263009980
13143744ab4
14a3d57c9a
156525e2c6
hex409b7230

1083929136 has 160 divisors (see below), whose sum is σ = 3006474240. Its totient is φ = 335923200.

The previous prime is 1083929057. The next prime is 1083929137. The reversal of 1083929136 is 6319293801.

It is not an unprimeable number, because it can be changed into a prime (1083929137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649791 + ... + 6649953.

It is an arithmetic number, because the mean of its divisors is an integer number (18790464).

Almost surely, 21083929136 is an apocalyptic number.

1083929136 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 1083929136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503237120).

1083929136 is an abundant number, since it is smaller than the sum of its proper divisors (1922545104).

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

1083929136 is a wasteful number, since it uses less digits than its factorization.

1083929136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1083929136 is about 32923.0790783608. The cubic root of 1083929136 is about 1027.2282710991.

The spelling of 1083929136 in words is "one billion, eighty-three million, nine hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 109 123 124 163 164 186 218 246 248 326 327 328 372 436 489 492 496 652 654 656 744 872 978 984 1271 1304 1308 1488 1744 1956 1968 2542 2608 2616 3379 3813 3912 4469 5053 5084 5232 6683 6758 7626 7824 8938 10106 10137 10168 13366 13407 13516 15159 15252 17767 17876 20049 20212 20274 20336 26732 26814 27032 30318 30504 35534 35752 40098 40424 40548 53301 53464 53628 54064 60636 61008 71068 71504 80196 80848 81096 106602 106928 107256 121272 138539 142136 160392 162192 207173 213204 214512 242544 277078 284272 320784 414346 415617 426408 550777 554156 621519 728447 828692 831234 852816 1101554 1108312 1243038 1456894 1652331 1657384 1662468 2185341 2203108 2216624 2486076 2913788 3304662 3314768 3324936 4370682 4406216 4972152 5827576 6609324 6649872 8741364 8812432 9944304 11655152 13218648 17482728 22581857 26437296 34965456 45163714 67745571 90327428 135491142 180654856 270982284 361309712 541964568 1083929136