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11283700 = 2252532129
BaseRepresentation
bin101011000010…
…110011110100
3210020021022211
4223002303310
510342034300
61041503204
7164624041
oct53026364
923207284
1011283700
11640767a
123941b04
132450c5c
1416da1c8
15ecd4ba
hexac2cf4

11283700 has 36 divisors (see below), whose sum is σ = 24959340. Its totient is φ = 4426240.

The previous prime is 11283677. The next prime is 11283703. The reversal of 11283700 is 738211.

11283700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 274576 + 11009124 = 524^2 + 3318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4236 + ... + 6364.

It is an arithmetic number, because the mean of its divisors is an integer number (693315).

Almost surely, 211283700 is an apocalyptic number.

11283700 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 11283700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479670).

11283700 is an abundant number, since it is smaller than the sum of its proper divisors (13675640).

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

11283700 is a wasteful number, since it uses less digits than its factorization.

11283700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11283700 is about 3359.1219090709. The cubic root of 11283700 is about 224.2937525735.

The spelling of 11283700 in words is "eleven million, two hundred eighty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2129 2650 4258 5300 8516 10645 21290 42580 53225 106450 112837 212900 225674 451348 564185 1128370 2256740 2820925 5641850 11283700