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11155392 = 2632107181
BaseRepresentation
bin101010100011…
…011111000000
3202222202022200
4222203133000
510323433032
61035033200
7163551003
oct52433700
922882280
1011155392
11632a236
12389b800
132407731
1416a553a
15ea547c
hexaa37c0

11155392 has 84 divisors (see below), whose sum is σ = 32452056. Its totient is φ = 3663360.

The previous prime is 11155373. The next prime is 11155399. The reversal of 11155392 is 29355111.

11155392 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155399) 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 11 ways as a sum of consecutive naturals, for example, 61542 + ... + 61722.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 211155392 is an apocalyptic number.

11155392 is a gapful number since it is divisible by the number (12) 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 11155392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226028).

11155392 is an abundant number, since it is smaller than the sum of its proper divisors (21296664).

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

11155392 is a wasteful number, since it uses less digits than its factorization.

11155392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 11155392 is about 3339.9688621303. The cubic root of 11155392 is about 223.4403546378.

It can be divided in two parts, 11 and 155392, that added together give a triangular number (155403 = T557).

The spelling of 11155392 in words is "eleven million, one hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 181 192 214 288 321 362 428 543 576 642 724 856 963 1086 1284 1448 1629 1712 1926 2172 2568 2896 3258 3424 3852 4344 5136 5792 6516 6848 7704 8688 10272 11584 13032 15408 17376 19367 20544 26064 30816 34752 38734 52128 58101 61632 77468 104256 116202 154936 174303 232404 309872 348606 464808 619744 697212 929616 1239488 1394424 1859232 2788848 3718464 5577696 11155392