Search a number
-
+
11394240 = 2635111383
BaseRepresentation
bin101011011101…
…110011000000
3210102212221220
4223131303000
510404103430
61044115040
7165564234
oct53356300
923385856
1011394240
116482730
123995a80
13248c370
1417285c4
151001110
hexaddcc0

11394240 has 224 divisors, whose sum is σ = 43013376. Its totient is φ = 2519040.

The previous prime is 11394217. The next prime is 11394241. The reversal of 11394240 is 4249311.

11394240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11394240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11394241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137239 + ... + 137321.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 211394240 is an apocalyptic number.

11394240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688).

11394240 is an abundant number, since it is smaller than the sum of its proper divisors (31619136).

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

11394240 is a wasteful number, since it uses less digits than its factorization.

11394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11394240 is about 3375.5355130705. The cubic root of 11394240 is about 225.0237999515.

Subtracting from 11394240 its reverse (4249311), we obtain a square (7144929 = 26732).

The spelling of 11394240 in words is "eleven million, three hundred ninety-four thousand, two hundred forty".