Search a number
-
+
1080384 = 26317331
BaseRepresentation
bin100000111110001000000
32000220000020
410013301000
5234033014
635053440
712116544
oct4076100
92026006
101080384
11678788
12441280
132ba9a6
14201a24
151651a9
hex107c40

1080384 has 56 divisors (see below), whose sum is σ = 3035808. Its totient is φ = 337920.

The previous prime is 1080383. The next prime is 1080413. The reversal of 1080384 is 4830801.

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 (1080383) 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, 3099 + ... + 3429.

21080384 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 1080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517904).

1080384 is an abundant number, since it is smaller than the sum of its proper divisors (1955424).

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

1080384 is a wasteful number, since it uses less digits than its factorization.

1080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1080384 is about 1039.4152202080. The cubic root of 1080384 is about 102.6107151887.

The spelling of 1080384 in words is "one million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 331 408 544 662 816 993 1088 1324 1632 1986 2648 3264 3972 5296 5627 7944 10592 11254 15888 16881 21184 22508 31776 33762 45016 63552 67524 90032 135048 180064 270096 360128 540192 1080384