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2020122384 = 2437231731511
BaseRepresentation
bin111100001101000…
…1001111100010000
312012210012211221120
41320122021330100
513114122404014
6532242122240
7101026520430
oct17032117420
95183184846
102020122384
11947340935
12484650380
132626a13b7
141524162c0
15bc539ba9
hex78689f10

2020122384 has 160 divisors (see below), whose sum is σ = 6263599104. Its totient is φ = 548528640.

The previous prime is 2020122373. The next prime is 2020122437. The reversal of 2020122384 is 4832210202.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1336189 + ... + 1337699.

Almost surely, 22020122384 is an apocalyptic number.

2020122384 is a gapful number since it is divisible by the number (24) 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 2020122384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131799552).

2020122384 is an abundant number, since it is smaller than the sum of its proper divisors (4243476720).

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

2020122384 is a wasteful number, since it uses less digits than its factorization.

2020122384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2020122384 is about 44945.7715919974. The cubic root of 2020122384 is about 1264.1323934656.

Adding to 2020122384 its reverse (4832210202), we get a palindrome (6852332586).

The spelling of 2020122384 in words is "two billion, twenty million, one hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 173 184 276 322 336 346 368 483 519 552 644 692 966 1038 1104 1211 1288 1384 1511 1932 2076 2422 2576 2768 3022 3633 3864 3979 4152 4533 4844 6044 7266 7728 7958 8304 9066 9688 10577 11937 12088 14532 15916 18132 19376 21154 23874 24176 27853 29064 31731 31832 34753 36264 42308 47748 55706 58128 63462 63664 69506 72528 83559 84616 95496 104259 111412 126924 139012 167118 169232 190992 208518 222824 243271 253848 261403 278024 334236 417036 445648 486542 507696 522806 556048 668472 729813 784209 834072 973084 1045612 1336944 1459626 1568418 1668144 1829821 1946168 2091224 2919252 3136836 3659642 3892336 4182448 5489463 5838504 6012269 6273672 7319284 10978926 11677008 12024538 12547344 14638568 18036807 21957852 24049076 29277136 36073614 42085883 43915704 48098152 72147228 84171766 87831408 96196304 126257649 144294456 168343532 252515298 288588912 336687064 505030596 673374128 1010061192 2020122384