Search a number
-
+
11200240 = 245191733
BaseRepresentation
bin101010101110…
…011011110000
3210002000211201
4222232123300
510331401430
61040020544
7164125522
oct52563360
923060751
1011200240
11635a9a7
123901754
132421c7c
1416b7a12
15eb38ca
hexaae6f0

11200240 has 40 divisors (see below), whose sum is σ = 26212608. Its totient is φ = 4450560.

The previous prime is 11200237. The next prime is 11200243. The reversal of 11200240 is 4200211.

It is an interprime number because it is at equal distance from previous prime (11200237) and next prime (11200243).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14914 + ... + 15646.

Almost surely, 211200240 is an apocalyptic number.

11200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200240 is an abundant number, since it is smaller than the sum of its proper divisors (15012368).

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

11200240 is a wasteful number, since it uses less digits than its factorization.

11200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

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

The square root of 11200240 is about 3346.6759628025. The cubic root of 11200240 is about 223.7393865319.

Adding to 11200240 its reverse (4200211), we get a palindrome (15400451).

The spelling of 11200240 in words is "eleven million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 733 764 955 1466 1528 1910 2932 3056 3665 3820 5864 7330 7640 11728 14660 15280 29320 58640 140003 280006 560012 700015 1120024 1400030 2240048 2800060 5600120 11200240