Search a number
-
+
11810224 = 242367479
BaseRepresentation
bin101101000011…
…010110110000
3211020000120201
4231003112300
511010411344
61101044544
7202246066
oct55032660
924200521
1011810224
116737218
123b56754
1325a67ca
1417d6036
1510844d4
hexb435b0

11810224 has 40 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 5552448.

The previous prime is 11810219. The next prime is 11810231. The reversal of 11810224 is 42201811.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 24417 + ... + 24895.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 211810224 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 11810224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

11810224 is an abundant number, since it is smaller than the sum of its proper divisors (12473936).

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

11810224 is a wasteful number, since it uses less digits than its factorization.

11810224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11810224 is about 3436.6006459873. The cubic root of 11810224 is about 227.7295449109.

The spelling of 11810224 in words is "eleven million, eight hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 268 368 479 536 958 1072 1541 1916 3082 3832 6164 7664 11017 12328 22034 24656 32093 44068 64186 88136 128372 176272 256744 513488 738139 1476278 2952556 5905112 11810224