Search a number
-
+
11808144 = 2432431907
BaseRepresentation
bin101101000010…
…110110010000
3211012220201200
4231002312100
511010330034
61101031200
7202240035
oct55026620
924186650
1011808144
1167356a7
123b55500
1325a588a
1417d538c
151083a99
hexb42d90

11808144 has 60 divisors (see below), whose sum is σ = 33832656. Its totient is φ = 3842496.

The previous prime is 11808113. The next prime is 11808151. The reversal of 11808144 is 44180811.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5239 + ... + 7145.

Almost surely, 211808144 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 11808144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916328).

11808144 is an abundant number, since it is smaller than the sum of its proper divisors (22024512).

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

11808144 is a wasteful number, since it uses less digits than its factorization.

11808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11808144 is about 3436.2980080313. The cubic root of 11808144 is about 227.7161749905.

Adding to 11808144 its reverse (44180811), we get a palindrome (55988955).

The spelling of 11808144 in words is "eleven million, eight hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1907 2064 3096 3814 5721 6192 7628 11442 15256 17163 22884 30512 34326 45768 68652 82001 91536 137304 164002 246003 274608 328004 492006 656008 738009 984012 1312016 1476018 1968024 2952036 3936048 5904072 11808144