Search a number
-
+
11468608 = 261783127
BaseRepresentation
bin101011101111…
…111101000000
3210120122222021
4223233331000
510413443413
61045451224
7166324114
oct53577500
923518867
1011468608
116523598
123a10b14
1324b7178
141747744
15101818d
hexaeff40

11468608 has 56 divisors (see below), whose sum is σ = 24579072. Its totient is φ = 5289984.

The previous prime is 11468603. The next prime is 11468621. The reversal of 11468608 is 80686411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90241 + ... + 90367.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 211468608 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 11468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536).

11468608 is an abundant number, since it is smaller than the sum of its proper divisors (13110464).

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

11468608 is a wasteful number, since it uses less digits than its factorization.

11468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 11468608 is about 3386.5333307086. The cubic root of 11468608 is about 225.5123009729.

The spelling of 11468608 in words is "eleven million, four hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 127 136 166 254 272 332 508 544 664 1016 1088 1328 1411 2032 2159 2656 2822 4064 4318 5312 5644 8128 8636 10541 11288 17272 21082 22576 34544 42164 45152 69088 84328 90304 138176 168656 179197 337312 358394 674624 716788 1433576 2867152 5734304 11468608