[go: up one dir, main page]

Search a number
-
+
11364224 = 27471889
BaseRepresentation
bin101011010110…
…011110000000
3210101100210012
4223112132000
510402123344
61043324052
7165410564
oct53263600
923340705
1011364224
116462123
123980628
13247b7c1
14171b6a4
15ee729e
hexad6780

11364224 has 32 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 5558272.

The previous prime is 11364193. The next prime is 11364233. The reversal of 11364224 is 42246311.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11364224.

It is a congruent number.

It is an unprimeable number.

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, 5072 + ... + 6960.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 211364224 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 11364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

11364224 is an abundant number, since it is smaller than the sum of its proper divisors (11769376).

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

11364224 is an equidigital number, since it uses as much as digits as its factorization.

11364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1938 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 11364224 is about 3371.0864717476. The cubic root of 11364224 is about 224.8260317790.

The spelling of 11364224 in words is "eleven million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 1889 3008 3778 6016 7556 15112 30224 60448 88783 120896 177566 241792 355132 710264 1420528 2841056 5682112 11364224