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11120512 = 271341163
BaseRepresentation
bin101010011010…
…111110000000
3202220222110211
4222122332000
510321324022
61034203504
7163344214
oct52327600
922828424
1011120512
116306007
123883594
1323c48b0
141696944
15e99e77
hexa9af80

11120512 has 64 divisors (see below), whose sum is σ = 24590160. Its totient is φ = 4976640.

The previous prime is 11120479. The next prime is 11120519. The reversal of 11120512 is 21502111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11120492 and 11120501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68143 + ... + 68305.

Almost surely, 211120512 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 11120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295080).

11120512 is an abundant number, since it is smaller than the sum of its proper divisors (13469648).

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

11120512 is a wasteful number, since it uses less digits than its factorization.

11120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 11120512 is about 3334.7431685214. The cubic root of 11120512 is about 223.2072316015.

Adding to 11120512 its reverse (21502111), we get a palindrome (32622623).

The spelling of 11120512 in words is "eleven million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 163 164 208 326 328 416 533 652 656 832 1066 1304 1312 1664 2119 2132 2608 2624 4238 4264 5216 5248 6683 8476 8528 10432 13366 16952 17056 20864 26732 33904 34112 53464 67808 68224 86879 106928 135616 173758 213856 271232 347516 427712 695032 855424 1390064 2780128 5560256 11120512