Search a number
-
+
1020331104 = 253134571789
BaseRepresentation
bin111100110100010…
…000010001100000
32122002221012010220
4330310100101200
54042201043404
6245125123040
734166446152
oct7464202140
92562835126
101020331104
11483a4a951
12245859480
13133508220
1499720ad2
155e89a4d9
hex3cd10460

1020331104 has 96 divisors (see below), whose sum is σ = 2892324960. Its totient is φ = 313085952.

The previous prime is 1020331087. The next prime is 1020331111. The reversal of 1020331104 is 4011330201.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 569442 + ... + 571230.

It is an arithmetic number, because the mean of its divisors is an integer number (30128385).

Almost surely, 21020331104 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 1020331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446162480).

1020331104 is an abundant number, since it is smaller than the sum of its proper divisors (1871993856).

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

1020331104 is a wasteful number, since it uses less digits than its factorization.

1020331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1020331104 is about 31942.6220589356. The cubic root of 1020331104 is about 1006.7316183013.

Adding to 1020331104 its reverse (4011330201), we get a palindrome (5031661305).

The spelling of 1020331104 in words is "one billion, twenty million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 457 624 914 1248 1371 1789 1828 2742 3578 3656 5367 5484 5941 7156 7312 10734 10968 11882 14312 14624 17823 21468 21936 23257 23764 28624 35646 42936 43872 46514 47528 57248 69771 71292 85872 93028 95056 139542 142584 171744 186056 190112 279084 285168 372112 558168 570336 744224 817573 1116336 1635146 2232672 2452719 3270292 4905438 6540584 9810876 10628449 13081168 19621752 21256898 26162336 31885347 39243504 42513796 63770694 78487008 85027592 127541388 170055184 255082776 340110368 510165552 1020331104