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1129839768 = 233229247397
BaseRepresentation
bin100001101010111…
…1111110010011000
32220201222210210100
41003111333302120
54303214333033
6304040215400
736666323331
oct10325776230
92821883710
101129839768
1152a846382
1227646a560
131500caa55
14aa0a9288
15692cc513
hex4357fc98

1129839768 has 144 divisors (see below), whose sum is σ = 3244718880. Its totient is φ = 354993408.

The previous prime is 1129839727. The next prime is 1129839791. The reversal of 1129839768 is 8679389211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2845746 + ... + 2846142.

It is an arithmetic number, because the mean of its divisors is an integer number (22532770).

Almost surely, 21129839768 is an apocalyptic number.

1129839768 is a gapful number since it is divisible by the number (18) 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 1129839768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622359440).

1129839768 is an abundant number, since it is smaller than the sum of its proper divisors (2114879112).

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

1129839768 is a wasteful number, since it uses less digits than its factorization.

1129839768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 478 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1129839768 is about 33613.0892361889. The cubic root of 1129839768 is about 1041.5312035586.

The spelling of 1129839768 in words is "one billion, one hundred twenty-nine million, eight hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 47 58 72 87 94 116 141 174 188 232 261 282 348 376 397 423 522 564 696 794 841 846 1044 1128 1191 1363 1588 1682 1692 2088 2382 2523 2726 3176 3364 3384 3573 4089 4764 5046 5452 6728 7146 7569 8178 9528 10092 10904 11513 12267 14292 15138 16356 18659 20184 23026 24534 28584 30276 32712 34539 37318 39527 46052 49068 55977 60552 69078 74636 79054 92104 98136 103617 111954 118581 138156 149272 158108 167931 207234 223908 237162 276312 316216 333877 335862 355743 414468 447816 474324 541111 667754 671724 711486 828936 948648 1001631 1082222 1335508 1343448 1422972 1623333 2003262 2164444 2671016 2845944 3004893 3246666 4006524 4328888 4869999 6009786 6493332 8013048 9739998 12019572 12986664 15692219 19479996 24039144 31384438 38959992 47076657 62768876 94153314 125537752 141229971 188306628 282459942 376613256 564919884 1129839768