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11141632 = 2947463
BaseRepresentation
bin101010100000…
…001000000000
3202222001110001
4222200020000
510323013012
61034445344
7163462615
oct52401000
922861401
1011141632
11631a967
123893854
1324013a8
1416a050c
15ea1357
hexaa0200

11141632 has 40 divisors (see below), whose sum is σ = 22784256. Its totient is φ = 5440512.

The previous prime is 11141621. The next prime is 11141693. The reversal of 11141632 is 23614111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23833 + ... + 24295.

Almost surely, 211141632 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 11141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392128).

11141632 is an abundant number, since it is smaller than the sum of its proper divisors (11642624).

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

11141632 is an frugal number, since it uses more digits than its factorization.

11141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 11141632 is about 3337.9083270815. The cubic root of 11141632 is about 223.3484467879.

Adding to 11141632 its reverse (23614111), we get a palindrome (34755743).

The spelling of 11141632 in words is "eleven million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 463 512 752 926 1504 1852 3008 3704 6016 7408 12032 14816 21761 24064 29632 43522 59264 87044 118528 174088 237056 348176 696352 1392704 2785408 5570816 11141632