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11288300 = 2252157719
BaseRepresentation
bin101011000011…
…111011101100
3210020111122012
4223003323230
510342211200
61041540352
7164643332
oct53037354
923214565
1011288300
116410081
1239446b8
13245308a
1416dbb52
15ecea35
hexac3eec

11288300 has 36 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 4480320.

The previous prime is 11288287. The next prime is 11288327. The reversal of 11288300 is 388211.

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, 15341 + ... + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (685720).

Almost surely, 211288300 is an apocalyptic number.

11288300 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 11288300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

11288300 is an abundant number, since it is smaller than the sum of its proper divisors (13397620).

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

11288300 is a wasteful number, since it uses less digits than its factorization.

11288300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11288300 is about 3359.8065420497. The cubic root of 11288300 is about 224.3242275386.

The spelling of 11288300 in words is "eleven million, two hundred eighty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 719 785 1438 1570 2876 3140 3595 3925 7190 7850 14380 15700 17975 35950 71900 112883 225766 451532 564415 1128830 2257660 2822075 5644150 11288300