Search a number
-
+
11244096 = 2636241
BaseRepresentation
bin101010111001…
…001001000000
3210011021000000
4222321021000
510334302341
61041000000
7164400423
oct52711100
923137000
1011244096
11638a946
123923000
132438c16
1416c99ba
15ec18b6
hexab9240

11244096 has 98 divisors (see below), whose sum is σ = 33592262. Its totient is φ = 3732480.

The previous prime is 11244091. The next prime is 11244131. The reversal of 11244096 is 69044211.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 746496 = 3240^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11244091) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46536 + ... + 46776.

Almost surely, 211244096 is an apocalyptic number.

11244096 is a gapful number since it is divisible by the number (16) 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 11244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796131).

11244096 is an abundant number, since it is smaller than the sum of its proper divisors (22348166).

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

11244096 is an frugal number, since it uses more digits than its factorization.

11244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11244096 is about 3353.2217343922. The cubic root of 11244096 is about 224.0310331154.

The spelling of 11244096 in words is "eleven million, two hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 241 243 288 324 432 482 486 576 648 723 729 864 964 972 1296 1446 1458 1728 1928 1944 2169 2592 2892 2916 3856 3888 4338 5184 5784 5832 6507 7712 7776 8676 11568 11664 13014 15424 15552 17352 19521 23136 23328 26028 34704 39042 46272 46656 52056 58563 69408 78084 104112 117126 138816 156168 175689 208224 234252 312336 351378 416448 468504 624672 702756 937008 1249344 1405512 1874016 2811024 3748032 5622048 11244096