Search a number
-
+
11440128 = 21237219
BaseRepresentation
bin101011101001…
…000000000000
3210112012220110
4223221000000
510412041003
61045111320
7166145100
oct53510000
923465813
1011440128
116504157
1239b8540
1324a720b
14173b200
15100ea03
hexae9000

11440128 has 156 divisors (see below), whose sum is σ = 37350960. Its totient is φ = 3096576.

The previous prime is 11440127. The next prime is 11440151. The reversal of 11440128 is 82104411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11440127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602103 + ... + 602121.

Almost surely, 211440128 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 11440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675480).

11440128 is an abundant number, since it is smaller than the sum of its proper divisors (25910832).

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

11440128 is an equidigital number, since it uses as much as digits as its factorization.

11440128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11440128 is about 3382.3258270013. The cubic root of 11440128 is about 225.3254746354.

Adding to 11440128 its reverse (82104411), we get a palindrome (93544539).

The spelling of 11440128 in words is "eleven million, four hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 256 266 294 304 336 384 392 399 448 456 512 532 588 608 672 768 784 798 896 912 931 1024 1064 1176 1216 1344 1536 1568 1596 1792 1824 1862 2048 2128 2352 2432 2688 2793 3072 3136 3192 3584 3648 3724 4096 4256 4704 4864 5376 5586 6144 6272 6384 7168 7296 7448 8512 9408 9728 10752 11172 12288 12544 12768 14336 14592 14896 17024 18816 19456 21504 22344 25088 25536 28672 29184 29792 34048 37632 38912 43008 44688 50176 51072 58368 59584 68096 75264 77824 86016 89376 100352 102144 116736 119168 136192 150528 178752 200704 204288 233472 238336 272384 301056 357504 408576 476672 544768 602112 715008 817152 953344 1430016 1634304 1906688 2860032 3813376 5720064 11440128