Search a number
-
+
11421144 = 23327173143
BaseRepresentation
bin101011100100…
…010111011000
3210111020212100
4223210113120
510410434034
61044443400
7166035540
oct53442730
923436770
1011421144
1164a0969
1239a9560
13249b697
141734320
151009099
hexae45d8

11421144 has 192 divisors, whose sum is σ = 39536640. Its totient is φ = 2903040.

The previous prime is 11421143. The next prime is 11421149. The reversal of 11421144 is 44112411.

11421144 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 (18).

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 (11421143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265587 + ... + 265629.

It is an arithmetic number, because the mean of its divisors is an integer number (205920).

Almost surely, 211421144 is an apocalyptic number.

11421144 is a gapful number since it is divisible by the number (14) 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 11421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

11421144 is an abundant number, since it is smaller than the sum of its proper divisors (28115496).

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

11421144 is a wasteful number, since it uses less digits than its factorization.

11421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 11421144 is about 3379.5183088718. The cubic root of 11421144 is about 225.2007689474.

Adding to 11421144 its reverse (44112411), we get a palindrome (55533555).

The spelling of 11421144 in words is "eleven million, four hundred twenty-one thousand, one hundred forty-four".