Search a number
-
+
5330503440 = 2432533122367
BaseRepresentation
bin1001111011011100…
…10000011100010000
3111202111021122001100
410331232100130100
541404102102230
62240535104400
7246044350233
oct47556203420
914674248040
105330503440
112295a26149
121049212100
1366c479862
14387d3541a
15212e8d660
hex13db90710

5330503440 has 120 divisors (see below), whose sum is σ = 17956493568. Its totient is φ = 1417109760.

The previous prime is 5330503417. The next prime is 5330503489. The reversal of 5330503440 is 443050335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 227137 + ... + 249503.

Almost surely, 25330503440 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 5330503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978246784).

5330503440 is an abundant number, since it is smaller than the sum of its proper divisors (12625990128).

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

5330503440 is a wasteful number, since it uses less digits than its factorization.

5330503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5330503440 is about 73010.2968080530. The cubic root of 5330503440 is about 1746.8518573594.

Adding to 5330503440 its reverse (443050335), we get a palindrome (5773553775).

The spelling of 5330503440 in words is "five billion, three hundred thirty million, five hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 331 360 662 720 993 1324 1655 1986 2648 2979 3310 3972 4965 5296 5958 6620 7944 9930 11916 13240 14895 15888 19860 22367 23832 26480 29790 39720 44734 47664 59580 67101 79440 89468 111835 119160 134202 178936 201303 223670 238320 268404 335505 357872 402606 447340 536808 671010 805212 894680 1006515 1073616 1342020 1610424 1789360 2013030 2684040 3220848 4026060 5368080 7403477 8052120 14806954 16104240 22210431 29613908 37017385 44420862 59227816 66631293 74034770 88841724 111052155 118455632 133262586 148069540 177683448 222104310 266525172 296139080 333156465 355366896 444208620 533050344 592278160 666312930 888417240 1066100688 1332625860 1776834480 2665251720 5330503440