Search a number
-
+
11813232 = 2431731467
BaseRepresentation
bin101101000100…
…000101110000
3211020011201010
4231010011300
511011010412
61101110520
7202260624
oct55040560
924204633
1011813232
116739502
123b58440
1325a7ca2
1417d7184
15108533c
hexb44170

11813232 has 80 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3578880.

The previous prime is 11813227. The next prime is 11813233. The reversal of 11813232 is 23231811.

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 = 11813199 and 11813208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11813233) 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, 25063 + ... + 25529.

Almost surely, 211813232 is an apocalyptic number.

11813232 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 11813232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

11813232 is an abundant number, since it is smaller than the sum of its proper divisors (21613200).

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

11813232 is a wasteful number, since it uses less digits than its factorization.

11813232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 11813232 is about 3437.0382598976. The cubic root of 11813232 is about 227.7488770964.

The spelling of 11813232 in words is "eleven million, eight hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 467 496 527 744 816 934 1054 1401 1488 1581 1868 2108 2802 3162 3736 4216 5604 6324 7472 7939 8432 11208 12648 14477 15878 22416 23817 25296 28954 31756 43431 47634 57908 63512 86862 95268 115816 127024 173724 190536 231632 246109 347448 381072 492218 694896 738327 984436 1476654 1968872 2953308 3937744 5906616 11813232