Search a number
-
+
11028768 = 253114883
BaseRepresentation
bin101010000100…
…100100100000
3202202022121220
4222010210200
510310410033
61032215040
7162512562
oct52044440
922668556
1011028768
116253093
12383a480
132391bca
141671332
15e7cbb3
hexa84920

11028768 has 24 divisors (see below), whose sum is σ = 28950768. Its totient is φ = 3676224.

The previous prime is 11028763. The next prime is 11028821. The reversal of 11028768 is 86782011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (11028763) 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 3 ways as a sum of consecutive naturals, for example, 57346 + ... + 57537.

It is an arithmetic number, because the mean of its divisors is an integer number (1206282).

Almost surely, 211028768 is an apocalyptic number.

It is an amenable number.

11028768 is an abundant number, since it is smaller than the sum of its proper divisors (17922000).

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

11028768 is a wasteful number, since it uses less digits than its factorization.

11028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114896 (or 114888 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11028768 is about 3320.9588976680. The cubic root of 11028768 is about 222.5917174374.

It can be divided in two parts, 1102 and 8768, that added together give a triangular number (9870 = T140).

The spelling of 11028768 in words is "eleven million, twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 114883 229766 344649 459532 689298 919064 1378596 1838128 2757192 3676256 5514384 11028768