Search a number
-
+
11382712 = 231131069
BaseRepresentation
bin101011011010…
…111110111000
3210102022010221
4223122332320
510403221322
61043545424
7165515515
oct53327670
923368127
1011382712
116475000
12398b274
132487043
14172430c
15eec9c7
hexadafb8

11382712 has 32 divisors (see below), whose sum is σ = 23497200. Its totient is φ = 5169120.

The previous prime is 11382667. The next prime is 11382719. The reversal of 11382712 is 21728311.

It is a happy number.

It is a super-2 number, since 2×113827122 = 259132264949888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382719) 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, 10114 + ... + 11182.

Almost surely, 211382712 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 11382712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748600).

11382712 is an abundant number, since it is smaller than the sum of its proper divisors (12114488).

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

11382712 is a wasteful number, since it uses less digits than its factorization.

11382712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1082 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 11382712 is about 3373.8275000361. The cubic root of 11382712 is about 224.9478858727.

The spelling of 11382712 in words is "eleven million, three hundred eighty-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1069 1331 2138 2662 4276 5324 8552 10648 11759 23518 47036 94072 129349 258698 517396 1034792 1422839 2845678 5691356 11382712