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11088900 = 223452372
BaseRepresentation
bin101010010011…
…010000000100
3202212101010000
4222103100010
510314321100
61033401300
7163153104
oct52232004
922771100
1011088900
116294289
123869230
1323b33a4
141689204
15e90900
hexa93404

11088900 has 135 divisors (see below), whose sum is σ = 36943599. Its totient is φ = 2877120.

The previous prime is 11088881. The next prime is 11088907. The reversal of 11088900 is 988011.

The square root of 11088900 is 3330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 10036224 = 1026^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (11088907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 299682 + ... + 299718.

Almost surely, 211088900 is an apocalyptic number.

11088900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11088900 is the 3330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088900

11088900 is an abundant number, since it is smaller than the sum of its proper divisors (25854699).

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

11088900 is a wasteful number, since it uses less digits than its factorization.

11088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The cubic root of 11088900 is about 222.9955290114.

Multiplying 11088900 by its product of nonzero digits (576), we get a square (6387206400 = 799202).

The spelling of 11088900 in words is "eleven million, eighty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 81 90 100 108 111 135 148 150 162 180 185 222 225 270 300 324 333 370 405 444 450 540 555 666 675 740 810 900 925 999 1110 1332 1350 1369 1620 1665 1850 1998 2025 2220 2700 2738 2775 2997 3330 3700 3996 4050 4107 4995 5476 5550 5994 6660 6845 8100 8214 8325 9990 11100 11988 12321 13690 14985 16428 16650 19980 20535 24642 24975 27380 29970 33300 34225 36963 41070 49284 49950 59940 61605 68450 73926 74925 82140 99900 102675 110889 123210 136900 147852 149850 184815 205350 221778 246420 299700 308025 369630 410700 443556 554445 616050 739260 924075 1108890 1232100 1848150 2217780 2772225 3696300 5544450 11088900