Search a number
-
+
11316240 = 2433513231
BaseRepresentation
bin101011001010…
…110000010000
3210021220222000
4223022300100
510344104430
61042314000
7165120645
oct53126020
923256860
1011316240
11642a071
123958900
132462a00
141707dcc
15ed7e60
hexacac10

11316240 has 240 divisors, whose sum is σ = 43568640. Its totient is φ = 2695680.

The previous prime is 11316211. The next prime is 11316247. The reversal of 11316240 is 4261311.

It is a happy number.

11316240 is a `hidden beast` number, since 11 + 31 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11316247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365025 + ... + 365055.

It is an arithmetic number, because the mean of its divisors is an integer number (181536).

Almost surely, 211316240 is an apocalyptic number.

11316240 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 11316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784320).

11316240 is an abundant number, since it is smaller than the sum of its proper divisors (32252400).

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

11316240 is a wasteful number, since it uses less digits than its factorization.

11316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11316240 is about 3363.9619498443. The cubic root of 11316240 is about 224.5091521939.

Adding to 11316240 its reverse (4261311), we get a palindrome (15577551).

The spelling of 11316240 in words is "eleven million, three hundred sixteen thousand, two hundred forty".