Search a number
-
+
115326288 = 24337113467
BaseRepresentation
bin1101101111110…
…11110101010000
322001000011221000
412313323311100
5214010420123
615235502000
72600154150
oct667736520
9261004830
10115326288
115a10a390
1232757900
131ab7b80c
1411460760
15a1d0b43
hex6dfbd50

115326288 has 160 divisors (see below), whose sum is σ = 412830720. Its totient is φ = 29946240.

The previous prime is 115326269. The next prime is 115326311. The reversal of 115326288 is 882623511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 31531 + ... + 34997.

It is an arithmetic number, because the mean of its divisors is an integer number (2580192).

Almost surely, 2115326288 is an apocalyptic number.

115326288 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 115326288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206415360).

115326288 is an abundant number, since it is smaller than the sum of its proper divisors (297504432).

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

115326288 is a wasteful number, since it uses less digits than its factorization.

115326288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3490 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 115326288 is about 10739.0077753953. The cubic root of 115326288 is about 486.7538977516.

Adding to 115326288 its reverse (882623511), we get a palindrome (997949799).

The spelling of 115326288 in words is "one hundred fifteen million, three hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3467 3696 4158 4752 5544 6934 8316 10401 11088 13868 16632 20802 24269 27736 31203 33264 38137 41604 48538 55472 62406 72807 76274 83208 93609 97076 114411 124812 145614 152548 166416 187218 194152 218421 228822 249624 266959 291228 305096 343233 374436 388304 436842 457644 499248 533918 582456 610192 655263 686466 748872 800877 873684 915288 1029699 1067836 1164912 1310526 1372932 1497744 1601754 1747368 1830576 2059398 2135672 2402631 2621052 2745864 3203508 3494736 4118796 4271344 4805262 5242104 5491728 6407016 7207893 8237592 9610524 10484208 12814032 14415786 16475184 19221048 28831572 38442096 57663144 115326288