Search a number
-
+
1023808 = 2617941
BaseRepresentation
bin11111001111101000000
31221000101211
43321331000
5230230213
633535504
711462602
oct3717500
91830354
101023808
1163a225
12414594
1329b006
141c9172
1515353d
hexf9f40

1023808 has 28 divisors (see below), whose sum is σ = 2153412. Its totient is φ = 481280.

The previous prime is 1023769. The next prime is 1023821. The reversal of 1023808 is 8083201.

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 304704 = 848^2 + 552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 618 + ... + 1558.

21023808 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 1023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076706).

1023808 is an abundant number, since it is smaller than the sum of its proper divisors (1129604).

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

1023808 is an equidigital number, since it uses as much as digits as its factorization.

1023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1023808 is about 1011.8339784767. The cubic root of 1023808 is about 100.7873839926.

The spelling of 1023808 in words is "one million, twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 941 1088 1882 3764 7528 15056 15997 30112 31994 60224 63988 127976 255952 511904 1023808