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11120382 = 2337133173
BaseRepresentation
bin101010011010…
…111011111110
3202220222022000
4222122323332
510321323012
61034203130
7163343640
oct52327376
922828260
1011120382
1163059a9
1238834a6
1323c4810
141696890
15e99ddc
hexa9aefe

11120382 has 128 divisors (see below), whose sum is σ = 31825920. Its totient is φ = 2799360.

The previous prime is 11120357. The next prime is 11120399. The reversal of 11120382 is 28302111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152298 + ... + 152370.

It is an arithmetic number, because the mean of its divisors is an integer number (248640).

Almost surely, 211120382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912960).

11120382 is an abundant number, since it is smaller than the sum of its proper divisors (20705538).

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

11120382 is a wasteful number, since it uses less digits than its factorization.

11120382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11120382 is about 3334.7236767085. The cubic root of 11120382 is about 223.2063618258.

Adding to 11120382 its reverse (28302111), we get a palindrome (39422493).

The spelling of 11120382 in words is "eleven million, one hundred twenty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 73 78 91 93 117 126 146 182 186 189 217 219 234 273 279 351 378 403 434 438 511 546 558 651 657 702 806 819 837 949 1022 1209 1302 1314 1533 1638 1674 1898 1953 1971 2263 2418 2457 2821 2847 3066 3627 3906 3942 4526 4599 4914 5642 5694 5859 6643 6789 7254 8463 8541 9198 10881 11718 13286 13578 13797 15841 16926 17082 19929 20367 21762 25389 25623 27594 29419 31682 39858 40734 47523 50778 51246 58838 59787 61101 76167 88257 95046 119574 122202 142569 152334 176514 179361 205933 264771 285138 358722 411866 427707 529542 617799 794313 855414 1235598 1588626 1853397 3706794 5560191 11120382