Search a number
-
+
133284690 = 23457112137
BaseRepresentation
bin1111111000111…
…00001101010010
3100021210120020000
413330130031102
5233110102230
621120430430
73205621050
oct774341522
9307716200
10133284690
1169265840
1238778416
13217c88a6
14139b71d0
15ba7bb60
hex7f1c352

133284690 has 160 divisors (see below), whose sum is σ = 447030144. Its totient is φ = 27682560.

The previous prime is 133284659. The next prime is 133284703. The reversal of 133284690 is 96482331.

It is a super-3 number, since 3×1332846903 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61302 + ... + 63438.

Almost surely, 2133284690 is an apocalyptic number.

133284690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133284690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223515072).

133284690 is an abundant number, since it is smaller than the sum of its proper divisors (313745454).

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

133284690 is a wasteful number, since it uses less digits than its factorization.

133284690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133284690 is about 11544.8988735285. The cubic root of 133284690 is about 510.8108209638.

The spelling of 133284690 in words is "one hundred thirty-three million, two hundred eighty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2137 2310 2835 2970 3465 4158 4274 4455 5670 6237 6411 6930 8910 10395 10685 12474 12822 14959 19233 20790 21370 23507 29918 31185 32055 38466 44877 47014 57699 62370 64110 70521 74795 89754 96165 115398 117535 134631 141042 149590 164549 173097 192330 211563 224385 235070 269262 288495 329098 346194 352605 403893 423126 448770 493647 576990 634689 673155 705210 807786 822745 865485 987294 1057815 1211679 1269378 1346310 1480941 1645490 1730970 1904067 2019465 2115630 2423358 2468235 2961882 3173445 3808134 4038930 4442823 4936470 6058395 6346890 7404705 8885646 9520335 12116790 13328469 14809410 19040670 22214115 26656938 44428230 66642345 133284690