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11069136 = 24361373
BaseRepresentation
bin101010001110…
…011011010000
3202211101000000
4222032123100
510313203021
61033130000
7163041351
oct52163320
922741000
1011069136
116280451
123859900
1323a73b0
141681d28
15e89b26
hexa8e6d0

11069136 has 140 divisors (see below), whose sum is σ = 35102788. Its totient is φ = 3359232.

The previous prime is 11069119. The next prime is 11069147. The reversal of 11069136 is 63196011.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 7290000 = 1944^2 + 2700^2 .

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 27 ways as a sum of consecutive naturals, for example, 151596 + ... + 151668.

Almost surely, 211069136 is an apocalyptic number.

11069136 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 11069136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551394).

11069136 is an abundant number, since it is smaller than the sum of its proper divisors (24033652).

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

11069136 is an equidigital number, since it uses as much as digits as its factorization.

11069136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11069136 is about 3327.0311089619. The cubic root of 11069136 is about 222.8629668808.

The spelling of 11069136 in words is "eleven million, sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 73 78 81 104 108 117 144 146 156 162 208 216 219 234 243 292 312 324 351 432 438 468 486 584 624 648 657 702 729 876 936 949 972 1053 1168 1296 1314 1404 1458 1752 1872 1898 1944 1971 2106 2628 2808 2847 2916 3159 3504 3796 3888 3942 4212 5256 5616 5694 5832 5913 6318 7592 7884 8424 8541 9477 10512 11388 11664 11826 12636 15184 15768 16848 17082 17739 18954 22776 23652 25272 25623 31536 34164 35478 37908 45552 47304 50544 51246 53217 68328 70956 75816 76869 94608 102492 106434 136656 141912 151632 153738 204984 212868 230607 283824 307476 409968 425736 461214 614952 691821 851472 922428 1229904 1383642 1844856 2767284 3689712 5534568 11069136