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11068800 = 273521153
BaseRepresentation
bin101010001110…
…010110000000
3202211100112120
4222032112000
510313200200
61033124240
7163040361
oct52162600
922740476
1011068800
116280176
123859680
1323a71b2
141681b68
15e899a0
hexa8e580

11068800 has 96 divisors (see below), whose sum is σ = 36489480. Its totient is φ = 2949120.

The previous prime is 11068793. The next prime is 11068817. The reversal of 11068800 is 886011.

11068800 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9024 + ... + 10176.

Almost surely, 211068800 is an apocalyptic number.

11068800 is a gapful number since it is divisible by the number (10) 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 11068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244740).

11068800 is an abundant number, since it is smaller than the sum of its proper divisors (25420680).

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

11068800 is a wasteful number, since it uses less digits than its factorization.

11068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11068800 is about 3326.9806131085. The cubic root of 11068800 is about 222.8607118805.

The spelling of 11068800 in words is "eleven million, sixty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1153 1200 1600 1920 2306 2400 3200 3459 4612 4800 5765 6918 9224 9600 11530 13836 17295 18448 23060 27672 28825 34590 36896 46120 55344 57650 69180 73792 86475 92240 110688 115300 138360 147584 172950 184480 221376 230600 276720 345900 368960 442752 461200 553440 691800 737920 922400 1106880 1383600 1844800 2213760 2767200 3689600 5534400 11068800