Search a number
-
+
11193024 = 26397601
BaseRepresentation
bin101010101100…
…101011000000
3210001122221110
4222230223000
510331134044
61035523320
7164065503
oct52545300
923048843
1011193024
116355537
1238b9540
13241b8bb
1416b513a
15eb16b9
hexaacac0

11193024 has 56 divisors (see below), whose sum is σ = 29969968. Its totient is φ = 3686400.

The previous prime is 11193023. The next prime is 11193031. The reversal of 11193024 is 42039111.

It is not an unprimeable number, because it can be changed into a prime (11193023) 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, 18324 + ... + 18924.

It is an arithmetic number, because the mean of its divisors is an integer number (535178).

Almost surely, 211193024 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 11193024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984984).

11193024 is an abundant number, since it is smaller than the sum of its proper divisors (18776944).

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

11193024 is an equidigital number, since it uses as much as digits as its factorization.

11193024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11193024 is about 3345.5977044468. The cubic root of 11193024 is about 223.6913265420.

The spelling of 11193024 in words is "eleven million, one hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 601 776 1164 1202 1552 1803 2328 2404 3104 3606 4656 4808 6208 7212 9312 9616 14424 18624 19232 28848 38464 57696 58297 115392 116594 174891 233188 349782 466376 699564 932752 1399128 1865504 2798256 3731008 5596512 11193024