Search a number
-
+
1040110848 = 2833723783
BaseRepresentation
bin111101111111101…
…101010100000000
32200111011002212000
4331333231110000
54112232021343
6251113104000
734526540100
oct7577552400
92614132760
101040110848
1149412a747
122503b8000
1313764230a
149c1cd200
15614a5ed3
hex3dfed500

1040110848 has 432 divisors, whose sum is σ = 3718935360. Its totient is φ = 285659136.

The previous prime is 1040110831. The next prime is 1040110861. The reversal of 1040110848 is 8480110401.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10401108482 = 2163661152254558208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12531415 + ... + 12531497.

Almost surely, 21040110848 is an apocalyptic number.

1040110848 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 1040110848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859467680).

1040110848 is an abundant number, since it is smaller than the sum of its proper divisors (2678824512).

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

1040110848 is an equidigital number, since it uses as much as digits as its factorization.

1040110848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1040110848 is about 32250.7495726844. The cubic root of 1040110848 is about 1013.1953982765.

The spelling of 1040110848 in words is "one billion, forty million, one hundred ten thousand, eight hundred forty-eight".