Search a number
-
+
11203728 = 2431012311
BaseRepresentation
bin101010101111…
…010010010000
3210002012121220
4222233102100
510332004403
61040045040
7164141634
oct52572220
923065556
1011203728
116362588
123903780
132423733
1416b8dc4
15eb4953
hexaaf490

11203728 has 40 divisors (see below), whose sum is σ = 29242176. Its totient is φ = 3696000.

The previous prime is 11203727. The next prime is 11203733. The reversal of 11203728 is 82730211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11203698 and 11203707.

It is not an unprimeable number, because it can be changed into a prime (11203721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3693 + ... + 6003.

Almost surely, 211203728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14621088).

11203728 is an abundant number, since it is smaller than the sum of its proper divisors (18038448).

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

11203728 is a wasteful number, since it uses less digits than its factorization.

11203728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11203728 is about 3347.1970363276. The cubic root of 11203728 is about 223.7626099028.

Adding to 11203728 its reverse (82730211), we get a palindrome (93933939).

The spelling of 11203728 in words is "eleven million, two hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2311 2424 4622 4848 6933 9244 13866 18488 27732 36976 55464 110928 233411 466822 700233 933644 1400466 1867288 2800932 3734576 5601864 11203728