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2020045140 = 2232571263601
BaseRepresentation
bin111100001100111…
…0111000101010100
312012210001220222200
41320121313011110
513114112421030
6532240324500
7101026046301
oct17031670524
95183056880
102020045140
119472988a3
12484613730
132626751a9
141523d60a8
15bc521d60
hex78677154

2020045140 has 144 divisors (see below), whose sum is σ = 6247777536. Its totient is φ = 528192000.

The previous prime is 2020045133. The next prime is 2020045151. The reversal of 2020045140 is 415400202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3360840 + ... + 3361440.

It is an arithmetic number, because the mean of its divisors is an integer number (43387344).

Almost surely, 22020045140 is an apocalyptic number.

2020045140 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 2020045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123888768).

2020045140 is an abundant number, since it is smaller than the sum of its proper divisors (4227732396).

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

2020045140 is a wasteful number, since it uses less digits than its factorization.

2020045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2020045140 is about 44944.9122815920. The cubic root of 2020045140 is about 1264.1162809291.

Adding to 2020045140 its reverse (415400202), we get a palindrome (2435445342).

The spelling of 2020045140 in words is "two billion, twenty million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 263 284 355 426 526 601 639 710 789 852 1052 1065 1202 1278 1315 1420 1578 1803 2130 2367 2404 2556 2630 3005 3156 3195 3606 3945 4260 4734 5260 5409 6010 6390 7212 7890 9015 9468 10818 11835 12020 12780 15780 18030 18673 21636 23670 27045 36060 37346 42671 47340 54090 56019 74692 85342 93365 108180 112038 128013 158063 168057 170684 186730 213355 224076 256026 280095 316126 336114 373460 384039 426710 474189 512052 560190 632252 640065 672228 768078 790315 840285 853420 948378 1120380 1280130 1422567 1536156 1580630 1680570 1896756 1920195 2370945 2560260 2845134 3161260 3361140 3840390 4741890 5690268 7112835 7680780 9483780 11222473 14225670 22444946 28451340 33667419 44889892 56112365 67334838 101002257 112224730 134669676 168337095 202004514 224449460 336674190 404009028 505011285 673348380 1010022570 2020045140