Search a number
-
+
11532928 = 27118191
BaseRepresentation
bin101011111111…
…101010000000
3210200221012111
4223333222000
510423023203
61051105104
7200012461
oct53775200
923627174
1011532928
116567950
123a42194
13250a524
141762d68
15102c26d
hexaffa80

11532928 has 32 divisors (see below), whose sum is σ = 25067520. Its totient is φ = 5241600.

The previous prime is 11532889. The next prime is 11532929. The reversal of 11532928 is 82923511.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 11532928.

It is not an unprimeable number, because it can be changed into a prime (11532929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2688 + ... + 5503.

It is an arithmetic number, because the mean of its divisors is an integer number (783360).

Almost surely, 211532928 is an apocalyptic number.

It is an amenable number.

11532928 is an abundant number, since it is smaller than the sum of its proper divisors (13534592).

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

11532928 is an equidigital number, since it uses as much as digits as its factorization.

11532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8204 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 11532928 is about 3396.0164899482. The cubic root of 11532928 is about 225.9330994713.

The spelling of 11532928 in words is "eleven million, five hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 8191 16382 32764 65528 90101 131056 180202 262112 360404 524224 720808 1048448 1441616 2883232 5766464 11532928