Search a number
-
+
2000043320 = 2351115130103
BaseRepresentation
bin111011100110110…
…0011110100111000
312011101102201122112
41313031203310320
513044002341240
6530243511452
7100364042042
oct16715436470
95141381575
102000043320
11936a77170
12479988588
1325b490cb2
1414d8aaa92
15ba8c0665
hex77363d38

2000043320 has 64 divisors (see below), whose sum is σ = 4941872640. Its totient is φ = 722448000.

The previous prime is 2000043317. The next prime is 2000043323. The reversal of 2000043320 is 233400002.

It is an interprime number because it is at equal distance from previous prime (2000043317) and next prime (2000043323).

It is a junction number, because it is equal to n+sod(n) for n = 2000043295 and 2000043304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000043323) 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, 51389 + ... + 81491.

It is an arithmetic number, because the mean of its divisors is an integer number (77216760).

Almost surely, 22000043320 is an apocalyptic number.

2000043320 is a gapful number since it is divisible by the number (20) 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 2000043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470936320).

2000043320 is an abundant number, since it is smaller than the sum of its proper divisors (2941829320).

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

2000043320 is a wasteful number, since it uses less digits than its factorization.

2000043320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30276 (or 30272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2000043320 is about 44721.8438796971. The cubic root of 2000043320 is about 1259.9301464592.

Adding to 2000043320 its reverse (233400002), we get a palindrome (2233443322).

The spelling of 2000043320 in words is "two billion, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3322 6040 6644 8305 13288 16610 30103 33220 60206 66440 120412 150515 240824 301030 331133 602060 662266 1204120 1324532 1655665 2649064 3311330 4545553 6622660 9091106 13245320 18182212 22727765 36364424 45455530 50001083 90911060 100002166 181822120 200004332 250005415 400008664 500010830 1000021660 2000043320