Search a number
-
+
11189232 = 243359439
BaseRepresentation
bin101010101011…
…101111110000
3210001110202000
4222223233300
510331023412
61035454000
7164051445
oct52535760
923043660
1011189232
1163526aa
1238b7300
132419c62
1416b39cc
15eb04dc
hexaabbf0

11189232 has 80 divisors (see below), whose sum is σ = 32736000. Its totient is φ = 3658176.

The previous prime is 11189231. The next prime is 11189237. The reversal of 11189232 is 23298111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11189196 and 11189205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25269 + ... + 25707.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 211189232 is an apocalyptic number.

11189232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11189232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368000).

11189232 is an abundant number, since it is smaller than the sum of its proper divisors (21546768).

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

11189232 is a wasteful number, since it uses less digits than its factorization.

11189232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11189232 is about 3345.0309415609. The cubic root of 11189232 is about 223.6660627909. Note that the first 3 decimals are identical.

The spelling of 11189232 in words is "eleven million, one hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 439 472 531 708 878 944 1062 1317 1416 1593 1756 2124 2634 2832 3186 3512 3951 4248 5268 6372 7024 7902 8496 10536 11853 12744 15804 21072 23706 25488 25901 31608 47412 51802 63216 77703 94824 103604 155406 189648 207208 233109 310812 414416 466218 621624 699327 932436 1243248 1398654 1864872 2797308 3729744 5594616 11189232