Search a number
-
+
11231232 = 2133457
BaseRepresentation
bin101010110110…
…000000000000
3210010121100120
4222312000000
510333344412
61040420240
7164315055
oct52660000
923117316
1011231232
116381211
123917680
1324330cc
1416c502c
15ebcb8c
hexab6000

11231232 has 56 divisors (see below), whose sum is σ = 30013656. Its totient is φ = 3735552.

The previous prime is 11231219. The next prime is 11231243. The reversal of 11231232 is 23213211.

It is a super-2 number, since 2×112312322 = 252281144475648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24348 + ... + 24804.

Almost surely, 211231232 is an apocalyptic number.

11231232 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 11231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006828).

11231232 is an abundant number, since it is smaller than the sum of its proper divisors (18782424).

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

11231232 is an frugal number, since it uses more digits than its factorization.

11231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 462 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 11231232 is about 3351.3030301660. The cubic root of 11231232 is about 223.9455650039.

Adding to 11231232 its reverse (23213211), we get a palindrome (34444443).

The spelling of 11231232 in words is "eleven million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 457 512 768 914 1024 1371 1536 1828 2048 2742 3072 3656 4096 5484 6144 7312 8192 10968 12288 14624 21936 24576 29248 43872 58496 87744 116992 175488 233984 350976 467968 701952 935936 1403904 1871872 2807808 3743744 5615616 11231232