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11136528 = 243413661
BaseRepresentation
bin101010011110…
…111000010000
3202221210110000
4222132320100
510322332103
61034410000
7163442004
oct52367020
922853400
1011136528
116317047
123890900
1323cbc80
14169c704
15e9eaa3
hexa9ee10

11136528 has 100 divisors (see below), whose sum is σ = 34764268. Its totient is φ = 3421440.

The previous prime is 11136497. The next prime is 11136557. The reversal of 11136528 is 82563111.

11136528 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 652 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 5992704 = 2268^2 + 2448^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 16518 + ... + 17178.

Almost surely, 211136528 is an apocalyptic number.

11136528 is a gapful number since it is divisible by the number (18) 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 11136528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382134).

11136528 is an abundant number, since it is smaller than the sum of its proper divisors (23627740).

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

11136528 is a wasteful number, since it uses less digits than its factorization.

11136528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11136528 is about 3337.1436888453. The cubic root of 11136528 is about 223.3143361480.

Adding to 11136528 its reverse (82563111), we get a palindrome (93699639).

It can be divided in two parts, 11136 and 528, that added together give a square (11664 = 1082).

The spelling of 11136528 in words is "eleven million, one hundred thirty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 661 702 936 1053 1296 1322 1404 1872 1983 2106 2644 2808 3966 4212 5288 5616 5949 7932 8424 8593 10576 11898 15864 16848 17186 17847 23796 25779 31728 34372 35694 47592 51558 53541 68744 71388 77337 95184 103116 107082 137488 142776 154674 206232 214164 232011 285552 309348 412464 428328 464022 618696 696033 856656 928044 1237392 1392066 1856088 2784132 3712176 5568264 11136528