Search a number
-
+
11001440 = 255292371
BaseRepresentation
bin101001111101…
…111001100000
3202200221010202
4221331321200
510304021230
61031444332
7162340112
oct51757140
922627122
1011001440
1162345aa
1238266a8
132382638
1416653b2
15e74a45
hexa7de60

11001440 has 48 divisors (see below), whose sum is σ = 26898480. Its totient is φ = 4247040.

The previous prime is 11001439. The next prime is 11001443. The reversal of 11001440 is 4410011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455 + ... + 5825.

It is an arithmetic number, because the mean of its divisors is an integer number (560385).

Almost surely, 211001440 is an apocalyptic number.

11001440 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 11001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449240).

11001440 is an abundant number, since it is smaller than the sum of its proper divisors (15897040).

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

11001440 is a wasteful number, since it uses less digits than its factorization.

11001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11001440 is about 3316.8418714193. The cubic root of 11001440 is about 222.4077132739.

Adding to 11001440 its reverse (4410011), we get a palindrome (15411451).

The spelling of 11001440 in words is "eleven million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 2371 4640 4742 9484 11855 18968 23710 37936 47420 68759 75872 94840 137518 189680 275036 343795 379360 550072 687590 1100144 1375180 2200288 2750360 5500720 11001440