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11240200 = 2352431307
BaseRepresentation
bin101010111000…
…001100001000
3210011001122201
4222320030020
510334141300
61040525544
7164353156
oct52701410
923131581
1011240200
116387a24
1239208b4
13243720a
1416c83d6
15ec066a
hexab8308

11240200 has 48 divisors (see below), whose sum is σ = 26761680. Its totient is φ = 4388160.

The previous prime is 11240183. The next prime is 11240209. The reversal of 11240200 is 204211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11240209) 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, 7947 + ... + 9253.

It is an arithmetic number, because the mean of its divisors is an integer number (557535).

Almost surely, 211240200 is an apocalyptic number.

11240200 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 11240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380840).

11240200 is an abundant number, since it is smaller than the sum of its proper divisors (15521480).

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

11240200 is a wasteful number, since it uses less digits than its factorization.

11240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11240200 is about 3352.6407502147. The cubic root of 11240200 is about 224.0051550684.

Adding to 11240200 its reverse (204211), we get a palindrome (11444411).

The spelling of 11240200 in words is "eleven million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1307 1720 2150 2614 4300 5228 6535 8600 10456 13070 26140 32675 52280 56201 65350 112402 130700 224804 261400 281005 449608 562010 1124020 1405025 2248040 2810050 5620100 11240200