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2020344040 = 23511131073301
BaseRepresentation
bin111100001101100…
…0000000011101000
312012210122010000001
41320123000003220
513114202002130
6532250552344
7101031432601
oct17033000350
95183563001
102020344040
11947482420
124847386b4
1326274b260
14152472da8
15bc5806ca
hex786c00e8

2020344040 has 128 divisors (see below), whose sum is σ = 5392033920. Its totient is φ = 671616000.

The previous prime is 2020344037. The next prime is 2020344061. The reversal of 2020344040 is 404430202.

It is a junction number, because it is equal to n+sod(n) for n = 2020343999 and 2020344017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610390 + ... + 613690.

It is an arithmetic number, because the mean of its divisors is an integer number (42125265).

Almost surely, 22020344040 is an apocalyptic number.

2020344040 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 2020344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696016960).

2020344040 is an abundant number, since it is smaller than the sum of its proper divisors (3371689880).

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

2020344040 is a wasteful number, since it uses less digits than its factorization.

2020344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2020344040 is about 44948.2373403007. The cubic root of 2020344040 is about 1264.1786270147.

Adding to 2020344040 its reverse (404430202), we get a palindrome (2424774242).

The spelling of 2020344040 in words is "two billion, twenty million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 107 110 130 143 214 220 260 286 428 440 520 535 572 715 856 1070 1144 1177 1391 1430 2140 2354 2782 2860 3301 4280 4708 5564 5720 5885 6602 6955 9416 11128 11770 13204 13910 15301 16505 23540 26408 27820 30602 33010 36311 42913 47080 55640 61204 66020 72622 76505 85826 122408 132040 145244 153010 171652 181555 214565 290488 306020 343304 353207 363110 429130 472043 612040 706414 726220 858260 944086 1412828 1452440 1716520 1766035 1888172 2360215 2825656 3532070 3776344 3885277 4591691 4720430 7064140 7770554 9183382 9440860 14128280 15541108 18366764 18881720 19426385 22958455 31082216 36733528 38852770 45916910 50508601 77705540 91833820 101017202 155411080 183667640 202034404 252543005 404068808 505086010 1010172020 2020344040