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11120256 = 273272197
BaseRepresentation
bin101010011010…
…111010000000
3202220222010100
4222122322000
510321322011
61034202400
7163343400
oct52327200
922828110
1011120256
1163058a4
123883400
1323c4744
141696800
15e99d56
hexa9ae80

11120256 has 144 divisors (see below), whose sum is σ = 37413090. Its totient is φ = 3161088.

The previous prime is 11120251. The next prime is 11120279. The reversal of 11120256 is 65202111.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 4769856 = 2520^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11120251) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56350 + ... + 56546.

Almost surely, 211120256 is an apocalyptic number.

11120256 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 11120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706545).

11120256 is an abundant number, since it is smaller than the sum of its proper divisors (26292834).

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

11120256 is a wasteful number, since it uses less digits than its factorization.

11120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11120256 is about 3334.7047845349. The cubic root of 11120256 is about 223.2055188060.

Adding to 11120256 its reverse (65202111), we get a palindrome (76322367).

The spelling of 11120256 in words is "eleven million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 197 224 252 288 294 336 384 392 394 441 448 504 576 588 591 672 784 788 882 896 1008 1152 1176 1182 1344 1379 1568 1576 1764 1773 2016 2352 2364 2688 2758 3136 3152 3528 3546 4032 4137 4704 4728 5516 6272 6304 7056 7092 8064 8274 9408 9456 9653 11032 12411 12608 14112 14184 16548 18816 18912 19306 22064 24822 25216 28224 28368 28959 33096 37824 38612 44128 49644 56448 56736 57918 66192 75648 77224 86877 88256 99288 113472 115836 132384 154448 173754 176512 198576 226944 231672 264768 308896 347508 397152 463344 529536 617792 695016 794304 926688 1235584 1390032 1588608 1853376 2780064 3706752 5560128 11120256