Search a number
-
+
11316984 = 2337314153
BaseRepresentation
bin101011001010…
…111011111000
3210021221222120
4223022323320
510344120414
61042321240
7165123060
oct53127370
923257876
1011316984
11642a688
123959220
132463153
1417083a0
15ed82a9
hexacaef8

11316984 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2995200.

The previous prime is 11316961. The next prime is 11317001. The reversal of 11316984 is 48961311.

It is a super-3 number, since 3×113169843 (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213502 + ... + 213554.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 211316984 is an apocalyptic number.

11316984 is a gapful number since it is divisible by the number (14) 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 11316984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11316984 is an abundant number, since it is smaller than the sum of its proper divisors (23519496).

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

11316984 is a wasteful number, since it uses less digits than its factorization.

11316984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 11316984 is about 3364.0725319172. The cubic root of 11316984 is about 224.5140722954.

The spelling of 11316984 in words is "eleven million, three hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 41 42 53 56 62 82 84 93 106 123 124 159 164 168 186 212 217 246 248 287 318 328 371 372 424 434 492 574 636 651 742 744 861 868 984 1113 1148 1271 1272 1302 1484 1643 1722 1736 2173 2226 2296 2542 2604 2968 3286 3444 3813 4346 4452 4929 5084 5208 6519 6572 6888 7626 8692 8897 8904 9858 10168 11501 13038 13144 15211 15252 17384 17794 19716 23002 26076 26691 30422 30504 34503 35588 39432 45633 46004 52152 53382 60844 67363 69006 71176 91266 92008 106764 121688 134726 138012 182532 202089 213528 269452 276024 365064 404178 471541 538904 808356 943082 1414623 1616712 1886164 2829246 3772328 5658492 11316984