Search a number
-
+
11826721 = 1921812
BaseRepresentation
bin101101000111…
…011000100001
3211020212012201
4231013120201
511011423341
61101253201
7202345144
oct55073041
924225181
1011826721
116748655
123b64201
1325b117a
1417dc05b
151089331
hexb47621

11826721 has 9 divisors (see below), whose sum is σ = 12551283. Its totient is φ = 11142360.

The previous prime is 11826719. The next prime is 11826733. The reversal of 11826721 is 12762811.

The square root of 11826721 is 3439.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 130321 + 11696400 = 361^2 + 3420^2 .

It is not a de Polignac number, because 11826721 - 21 = 11826719 is a prime.

It is a super-2 number, since 2×118267212 = 279742659223682, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11826721.

It is not an unprimeable number, because it can be changed into a prime (11826821) 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 8 ways as a sum of consecutive naturals, for example, 65251 + ... + 65431.

It is an arithmetic number, because the mean of its divisors is an integer number (1394587).

Almost surely, 211826721 is an apocalyptic number.

11826721 is the 3439-th square number.

11826721 is the 1720-th centered octagonal number.

It is an amenable number.

11826721 is a deficient number, since it is larger than the sum of its proper divisors (724562).

11826721 is an frugal number, since it uses more digits than its factorization.

11826721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The cubic root of 11826721 is about 227.8355295340.

The spelling of 11826721 in words is "eleven million, eight hundred twenty-six thousand, seven hundred twenty-one".

Divisors: 1 19 181 361 3439 32761 65341 622459 11826721