Search a number
-
+
11983424 = 261131657
BaseRepresentation
bin101101101101…
…101001000000
3211112211011112
4231231221000
511031432144
61104502452
7203600045
oct55555100
924484145
1011983424
116845362
12401aa28
1326375ab
14183d1cc
1510ba99e
hexb6da40

11983424 has 28 divisors (see below), whose sum is σ = 24004524. Its totient is φ = 5935104.

The previous prime is 11983421. The next prime is 11983427. The reversal of 11983424 is 42438911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11983421) and next prime (11983427).

It can be written as a sum of positive squares in 2 ways, for example, as 1537600 + 10445824 = 1240^2 + 3232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11983421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6404 + ... + 8060.

Almost surely, 211983424 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 11983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002262).

11983424 is an abundant number, since it is smaller than the sum of its proper divisors (12021100).

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

11983424 is a wasteful number, since it uses less digits than its factorization.

11983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1772 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 11983424 is about 3461.7082488274. The cubic root of 11983424 is about 228.8373844727.

The spelling of 11983424 in words is "eleven million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1657 1808 3314 3616 6628 7232 13256 26512 53024 106048 187241 374482 748964 1497928 2995856 5991712 11983424