Search a number
-
+
1083803328 = 2635227307
BaseRepresentation
bin100000010011001…
…1000011011000000
32210112100220200000
41000212120123000
54204423201303
6255313400000
735600114316
oct10046303300
92715326600
101083803328
11506862533
12262b69000
131436cc75a
14a3d240b6
1565236da3
hex409986c0

1083803328 has 168 divisors, whose sum is σ = 3246315072. Its totient is φ = 358504704.

The previous prime is 1083803317. The next prime is 1083803381. The reversal of 1083803328 is 8233083801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1083803292 and 1083803301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3530151 + ... + 3530457.

It is an arithmetic number, because the mean of its divisors is an integer number (19323304).

Almost surely, 21083803328 is an apocalyptic number.

1083803328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623157536).

1083803328 is an abundant number, since it is smaller than the sum of its proper divisors (2162511744).

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

1083803328 is an equidigital number, since it uses as much as digits as its factorization.

1083803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1083803328 is about 32921.1683875284. The cubic root of 1083803328 is about 1027.1885272542.

The spelling of 1083803328 in words is "one billion, eighty-three million, eight hundred three thousand, three hundred twenty-eight".