Search a number
-
+
11463440 = 245178429
BaseRepresentation
bin101011101110…
…101100010000
3210120101212212
4223232230100
510413312230
61045411252
7166303052
oct53565420
923511785
1011463440
11651a71a
123a09b28
1324b4a01
1417458d2
151016895
hexaeeb10

11463440 has 40 divisors (see below), whose sum is σ = 28223640. Its totient is φ = 4315136.

The previous prime is 11463437. The next prime is 11463443. The reversal of 11463440 is 4436411.

11463440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11463437) and next prime (11463443).

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 10549504 = 956^2 + 3248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11463443) 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, 2855 + ... + 5574.

It is an arithmetic number, because the mean of its divisors is an integer number (705591).

Almost surely, 211463440 is an apocalyptic number.

11463440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11463440 is an abundant number, since it is smaller than the sum of its proper divisors (16760200).

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

11463440 is a wasteful number, since it uses less digits than its factorization.

11463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 11463440 is about 3385.7702225638. The cubic root of 11463440 is about 225.4784223285.

Adding to 11463440 its reverse (4436411), we get a palindrome (15899851).

The spelling of 11463440 in words is "eleven million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 8429 16858 33716 42145 67432 84290 134864 143293 168580 286586 337160 573172 674320 716465 1146344 1432930 2292688 2865860 5731720 11463440