Search a number
-
+
11091168 = 253411389
BaseRepresentation
bin101010010011…
…110011100000
3202212111020000
4222103303200
510314404133
61033420000
7163162524
oct52236340
922774200
1011091168
116295a60
12386a600
1323b442a
141689d84
15e91413
hexa93ce0

11091168 has 120 divisors (see below), whose sum is σ = 35675640. Its totient is φ = 3352320.

The previous prime is 11091167. The next prime is 11091169. The reversal of 11091168 is 86119011.

It is an interprime number because it is at equal distance from previous prime (11091167) and next prime (11091169).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11091163) 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 19 ways as a sum of consecutive naturals, for example, 28318 + ... + 28706.

It is an arithmetic number, because the mean of its divisors is an integer number (297297).

Almost surely, 211091168 is an apocalyptic number.

11091168 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 11091168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820).

11091168 is an abundant number, since it is smaller than the sum of its proper divisors (24584472).

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

11091168 is a wasteful number, since it uses less digits than its factorization.

11091168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11091168 is about 3330.3405231297. The cubic root of 11091168 is about 223.0107309817.

The spelling of 11091168 in words is "eleven million, ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 389 396 432 528 594 648 778 792 864 891 1056 1167 1188 1296 1556 1584 1782 2334 2376 2592 3112 3168 3501 3564 4279 4668 4752 6224 7002 7128 8558 9336 9504 10503 12448 12837 14004 14256 17116 18672 21006 25674 28008 28512 31509 34232 37344 38511 42012 51348 56016 63018 68464 77022 84024 102696 112032 115533 126036 136928 154044 168048 205392 231066 252072 308088 336096 346599 410784 462132 504144 616176 693198 924264 1008288 1232352 1386396 1848528 2772792 3697056 5545584 11091168