Search a number
-
+
11214144 = 263219469
BaseRepresentation
bin101010110001…
…110101000000
3210002201220200
4222301311000
510332323034
61040205200
7164214204
oct52616500
923081820
1011214144
11636a397
123909800
1324283b6
1416bcb04
15eb7a99
hexab1d40

11214144 has 42 divisors (see below), whose sum is σ = 32144970. Its totient is φ = 3737856.

The previous prime is 11214143. The next prime is 11214173. The reversal of 11214144 is 44141211.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 2214144 = 3000^2 + 1488^2 .

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 (11214143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9159 + ... + 10310.

Almost surely, 211214144 is an apocalyptic number.

It is an amenable number.

11214144 is an abundant number, since it is smaller than the sum of its proper divisors (20930826).

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

11214144 is a wasteful number, since it uses less digits than its factorization.

11214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19487 (or 19474 counting only the distinct ones).

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

The square root of 11214144 is about 3348.7526035824. The cubic root of 11214144 is about 223.8319317523.

Adding to 11214144 its reverse (44141211), we get a palindrome (55355355).

The spelling of 11214144 in words is "eleven million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19469 38938 58407 77876 116814 155752 175221 233628 311504 350442 467256 623008 700884 934512 1246016 1401768 1869024 2803536 3738048 5607072 11214144