Search a number
-
+
11014944 = 253179641
BaseRepresentation
bin101010000001…
…001100100000
3202201121122220
4222001030200
510304434234
61032031040
7162424353
oct52011440
922647586
1011014944
116243766
123832480
132388825
14166a29a
15e78a49
hexa81320

11014944 has 48 divisors (see below), whose sum is σ = 29121120. Its totient is φ = 3645440.

The previous prime is 11014943. The next prime is 11014961. The reversal of 11014944 is 44941011.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (11014943) 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 7 ways as a sum of consecutive naturals, for example, 16864 + ... + 17504.

It is an arithmetic number, because the mean of its divisors is an integer number (606690).

Almost surely, 211014944 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 11014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560560).

11014944 is an abundant number, since it is smaller than the sum of its proper divisors (18106176).

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

11014944 is a wasteful number, since it uses less digits than its factorization.

11014944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11014944 is about 3318.8769184771. The cubic root of 11014944 is about 222.4986760852.

Adding to 11014944 its reverse (44941011), we get a palindrome (55955955).

The spelling of 11014944 in words is "eleven million, fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 641 716 1074 1282 1432 1923 2148 2564 2864 3846 4296 5128 5728 7692 8592 10256 15384 17184 20512 30768 61536 114739 229478 344217 458956 688434 917912 1376868 1835824 2753736 3671648 5507472 11014944