Search a number
-
+
2041105304 = 237793531307
BaseRepresentation
bin111100110101000…
…1100101110011000
312021020200220002202
41321222030232120
513140010332204
6534311545332
7101403052220
oct17152145630
95236626082
102041105304
11958172697
1248b68b248
13266b3a024
14155119080
15be2d1e1e
hex79a8cb98

2041105304 has 64 divisors (see below), whose sum is σ = 4445107200. Its totient is φ = 860580864.

The previous prime is 2041105291. The next prime is 2041105309. The reversal of 2041105304 is 4035011402.

It is a super-2 number, since 2×20411053042 = 8332221724033864832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041105309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561019 + ... + 1562325.

It is an arithmetic number, because the mean of its divisors is an integer number (69454800).

Almost surely, 22041105304 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 2041105304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222553600).

2041105304 is an abundant number, since it is smaller than the sum of its proper divisors (2404001896).

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

2041105304 is a wasteful number, since it uses less digits than its factorization.

2041105304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2041105304 is about 45178.5934265333. The cubic root of 2041105304 is about 1268.4941550368.

Adding to 2041105304 its reverse (4035011402), we get a palindrome (6076116706).

The spelling of 2041105304 in words is "two billion, forty-one million, one hundred five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 353 553 632 706 1106 1307 1412 2212 2471 2614 2824 4424 4942 5228 9149 9884 10456 18298 19768 27887 36596 55774 73192 103253 111548 195209 206506 223096 390418 413012 461371 722771 780836 826024 922742 1445542 1561672 1845484 2891084 3229597 3690968 5782168 6459194 12918388 25836776 36448309 72896618 145793236 255138163 291586472 510276326 1020552652 2041105304