Search a number
-
+
11364200 = 235256821
BaseRepresentation
bin101011010110…
…011101101000
3210101100202022
4223112131220
510402123300
61043324012
7165410531
oct53263550
923340668
1011364200
116462101
123980608
13247b7a3
14171b688
15ee7285
hexad6768

11364200 has 24 divisors (see below), whose sum is σ = 26422230. Its totient is φ = 4545600.

The previous prime is 11364193. The next prime is 11364233. The reversal of 11364200 is 246311.

It can be written as a sum of positive squares in 3 ways, for example, as 7761796 + 3602404 = 2786^2 + 1898^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28211 + ... + 28610.

Almost surely, 211364200 is an apocalyptic number.

11364200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11364200 is an abundant number, since it is smaller than the sum of its proper divisors (15058030).

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

11364200 is a wasteful number, since it uses less digits than its factorization.

11364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56837 (or 56828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 11364200 is about 3371.0829120625. The cubic root of 11364200 is about 224.8258735095.

The spelling of 11364200 in words is "eleven million, three hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 56821 113642 227284 284105 454568 568210 1136420 1420525 2272840 2841050 5682100 11364200