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11232032 = 257411223
BaseRepresentation
bin101010110110…
…001100100000
3210010122110012
4222312030200
510333411112
61040424052
7164320310
oct52661440
923118405
1011232032
116381879
123918028
132433596
1416c5440
15ebd022
hexab6320

11232032 has 48 divisors (see below), whose sum is σ = 25909632. Its totient is φ = 4692480.

The previous prime is 11232031. The next prime is 11232041. The reversal of 11232032 is 23023211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11231998 and 11232016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232031) 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, 8573 + ... + 9795.

It is an arithmetic number, because the mean of its divisors is an integer number (539784).

Almost surely, 211232032 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 11232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816).

11232032 is an abundant number, since it is smaller than the sum of its proper divisors (14677600).

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

11232032 is a wasteful number, since it uses less digits than its factorization.

11232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 11232032 is about 3351.4223846003. The cubic root of 11232032 is about 223.9508820875.

Adding to 11232032 its reverse (23023211), we get a palindrome (34255243).

The spelling of 11232032 in words is "eleven million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1223 1312 2296 2446 4592 4892 8561 9184 9784 17122 19568 34244 39136 50143 68488 100286 136976 200572 273952 351001 401144 702002 802288 1404004 1604576 2808008 5616016 11232032