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11053224 = 23327213241
BaseRepresentation
bin101010001010…
…100010101000
3202210120011200
4222022202220
510312200344
61032524200
7162644100
oct52124250
922716150
1011053224
11626a4a6
123850660
1323a0090
14167a200
15e85069
hexa8a8a8

11053224 has 144 divisors (see below), whose sum is σ = 37657620. Its totient is φ = 2903040.

The previous prime is 11053219. The next prime is 11053241. The reversal of 11053224 is 42235011.

11053224 is a `hidden beast` number, since 110 + 532 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 44100 = 3318^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

11053224 is an undulating number in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11053197 and 11053206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45744 + ... + 45984.

Almost surely, 211053224 is an apocalyptic number.

11053224 is a gapful number since it is divisible by the number (14) 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 11053224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828810).

11053224 is an abundant number, since it is smaller than the sum of its proper divisors (26604396).

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

11053224 is a wasteful number, since it uses less digits than its factorization.

11053224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11053224 is about 3324.6389277634. The cubic root of 11053224 is about 222.7561263794.

Adding to 11053224 its reverse (42235011), we get a palindrome (53288235).

The spelling of 11053224 in words is "eleven million, fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 241 252 273 294 312 364 392 441 468 482 504 546 588 637 723 728 819 882 936 964 1092 1176 1274 1446 1638 1687 1764 1911 1928 2169 2184 2548 2892 3133 3276 3374 3528 3822 4338 5061 5096 5733 5784 6266 6552 6748 7644 8676 9399 10122 11466 11809 12532 13496 15183 15288 17352 18798 20244 21931 22932 23618 25064 28197 30366 35427 37596 40488 43862 45864 47236 56394 60732 65793 70854 75192 87724 94472 106281 112788 121464 131586 141708 153517 175448 197379 212562 225576 263172 283416 307034 394758 425124 460551 526344 614068 789516 850248 921102 1228136 1381653 1579032 1842204 2763306 3684408 5526612 11053224