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2020330240 = 28529371471
BaseRepresentation
bin111100001101011…
…1100101100000000
312012210121102001221
41320122330230000
513114201031430
6532250404424
7101031344425
oct17032745400
95183542057
102020330240
11947473015
12484730714
13262744ba6
1415246bd4c
15bc57b57a
hex786bcb00

2020330240 has 144 divisors (see below), whose sum is σ = 5144993280. Its totient is φ = 758661120.

The previous prime is 2020330231. The next prime is 2020330243. The reversal of 2020330240 is 420330202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2020330243) 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, 1372705 + ... + 1374175.

It is an arithmetic number, because the mean of its divisors is an integer number (35729120).

Almost surely, 22020330240 is an apocalyptic number.

2020330240 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 2020330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572496640).

2020330240 is an abundant number, since it is smaller than the sum of its proper divisors (3124663040).

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

2020330240 is a wasteful number, since it uses less digits than its factorization.

2020330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2020330240 is about 44948.0838301256. The cubic root of 2020330240 is about 1264.1757486758.

Adding to 2020330240 its reverse (420330202), we get a palindrome (2440660442).

The spelling of 2020330240 in words is "two billion, twenty million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 256 290 296 320 370 464 580 592 640 740 928 1073 1160 1184 1280 1471 1480 1856 2146 2320 2368 2942 2960 3712 4292 4640 4736 5365 5884 5920 7355 7424 8584 9280 9472 10730 11768 11840 14710 17168 18560 21460 23536 23680 29420 34336 37120 42659 42920 47072 47360 54427 58840 68672 85318 85840 94144 108854 117680 137344 170636 171680 188288 213295 217708 235360 272135 274688 341272 343360 376576 426590 435416 470720 544270 682544 686720 853180 870832 941440 1088540 1365088 1373440 1578383 1706360 1741664 1882880 2177080 2730176 3156766 3412720 3483328 4354160 5460352 6313532 6825440 6966656 7891915 8708320 10920704 12627064 13650880 13933312 15783830 17416640 25254128 27301760 31567660 34833280 50508256 54603520 63135320 69666560 101016512 126270640 202033024 252541280 404066048 505082560 1010165120 2020330240