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11029800 = 2335231593
BaseRepresentation
bin101010000100…
…110100101000
3202202101001010
4222010310220
510310423200
61032223520
7162515565
oct52046450
922671033
1011029800
116253941
12383aba0
132392512
14167186c
15e7d150
hexa84d28

11029800 has 96 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2841600.

The previous prime is 11029793. The next prime is 11029829. The reversal of 11029800 is 892011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18304 + ... + 18896.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 211029800 is an apocalyptic number.

11029800 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 11029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

11029800 is an abundant number, since it is smaller than the sum of its proper divisors (24325080).

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

11029800 is a wasteful number, since it uses less digits than its factorization.

11029800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11029800 is about 3321.1142708434. The cubic root of 11029800 is about 222.5986601134.

The spelling of 11029800 in words is "eleven million, twenty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 593 600 620 744 775 930 1186 1240 1550 1779 1860 2325 2372 2965 3100 3558 3720 4650 4744 5930 6200 7116 8895 9300 11860 14232 14825 17790 18383 18600 23720 29650 35580 36766 44475 55149 59300 71160 73532 88950 91915 110298 118600 147064 177900 183830 220596 275745 355800 367660 441192 459575 551490 735320 919150 1102980 1378725 1838300 2205960 2757450 3676600 5514900 11029800