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11059092 = 22341129107
BaseRepresentation
bin101010001011…
…111110010100
3202210212020000
4222023332110
510312342332
61033011300
7163000152
oct52137624
922725200
1011059092
116273950
123853b30
1323a2955
14167c3d2
15e86b7c
hexa8bf94

11059092 has 120 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3205440.

The previous prime is 11059079. The next prime is 11059099. The reversal of 11059092 is 29095011.

It is a happy number.

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 (11059099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103303 + ... + 103409.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 211059092 is an apocalyptic number.

11059092 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 11059092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

11059092 is an abundant number, since it is smaller than the sum of its proper divisors (21872268).

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

11059092 is a wasteful number, since it uses less digits than its factorization.

11059092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 11059092 is about 3325.5213125163. The cubic root of 11059092 is about 222.7955387628.

The spelling of 11059092 in words is "eleven million, fifty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 107 108 116 132 162 174 198 214 261 297 319 321 324 348 396 428 522 594 638 642 783 891 957 963 1044 1177 1188 1276 1284 1566 1782 1914 1926 2349 2354 2871 2889 3103 3132 3531 3564 3828 3852 4698 4708 5742 5778 6206 7062 8613 8667 9309 9396 10593 11484 11556 12412 14124 17226 17334 18618 21186 25839 27927 31779 34133 34452 34668 37236 42372 51678 55854 63558 68266 83781 95337 102399 103356 111708 127116 136532 167562 190674 204798 251343 307197 335124 381348 409596 502686 614394 921591 1005372 1228788 1843182 2764773 3686364 5529546 11059092