Search a number
-
+
11031328 = 25711337
BaseRepresentation
bin101010000101…
…001100100000
3202202110010201
4222011030200
510311000303
61032234544
7162523210
oct52051440
922673121
1011031328
116255000
12383ba54
132393119
141672240
15e7d81d
hexa85320

11031328 has 96 divisors (see below), whose sum is σ = 28038528. Its totient is φ = 4181760.

The previous prime is 11031313. The next prime is 11031359. The reversal of 11031328 is 82313011.

11031328 = 393 + 403 + ... + 823.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298126 + ... + 298162.

It is an arithmetic number, because the mean of its divisors is an integer number (292068).

Almost surely, 211031328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019264).

11031328 is an abundant number, since it is smaller than the sum of its proper divisors (17007200).

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

11031328 is an equidigital number, since it uses as much as digits as its factorization.

11031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11031328 is about 3321.3443061507. The cubic root of 11031328 is about 222.6089387841.

Adding to 11031328 its reverse (82313011), we get a palindrome (93344339).

The spelling of 11031328 in words is "eleven million, thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 121 148 154 176 224 242 259 296 308 352 407 484 518 592 616 814 847 968 1036 1184 1232 1331 1628 1694 1936 2072 2464 2662 2849 3256 3388 3872 4144 4477 5324 5698 6512 6776 8288 8954 9317 10648 11396 13024 13552 17908 18634 21296 22792 27104 31339 35816 37268 42592 45584 49247 62678 71632 74536 91168 98494 125356 143264 149072 196988 250712 298144 344729 393976 501424 689458 787952 1002848 1378916 1575904 2757832 5515664 11031328