Search a number
-
+
11441616 = 243349683
BaseRepresentation
bin101011101001…
…010111010000
3210112021221120
4223221113100
510412112431
61045122240
7166152324
oct53512720
923467846
1011441616
11650528a
1239b9380
1324a7ab4
14173b984
151010196
hexae95d0

11441616 has 40 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 3797376.

The previous prime is 11441611. The next prime is 11441623. The reversal of 11441616 is 61614411.

11441616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16411 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 211441616 is an apocalyptic number.

11441616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11441616 is an abundant number, since it is smaller than the sum of its proper divisors (18243984).

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

11441616 is a wasteful number, since it uses less digits than its factorization.

11441616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11441616 is about 3382.5457868298. The cubic root of 11441616 is about 225.3352434588.

The spelling of 11441616 in words is "eleven million, four hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 349 683 698 1047 1366 1396 2049 2094 2732 2792 4098 4188 5464 5584 8196 8376 10928 16392 16752 32784 238367 476734 715101 953468 1430202 1906936 2860404 3813872 5720808 11441616