Search a number
-
+
2021543020 = 225722983857
BaseRepresentation
bin111100001111110…
…0100110001101100
312012212220000200201
41320133210301230
513120003334040
6532332403244
7101044555300
oct17037446154
95185800621
102021543020
11948121212
12485016524
13262a7ac03
141526a5d00
15bc71aa9a
hex787e4c6c

2021543020 has 144 divisors (see below), whose sum is σ = 5176211040. Its totient is φ = 660366336.

The previous prime is 2021543003. The next prime is 2021543033. The reversal of 2021543020 is 203451202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2358432 + ... + 2359288.

It is an arithmetic number, because the mean of its divisors is an integer number (35945910).

Almost surely, 22021543020 is an apocalyptic number.

2021543020 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 2021543020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588105520).

2021543020 is an abundant number, since it is smaller than the sum of its proper divisors (3154668020).

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

2021543020 is a wasteful number, since it uses less digits than its factorization.

2021543020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2021543020 is about 44961.5727038101. The cubic root of 2021543020 is about 1264.4286545878.

Adding to 2021543020 its reverse (203451202), we get a palindrome (2224994222).

The spelling of 2021543020 in words is "two billion, twenty-one million, five hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 83 98 116 140 145 166 196 203 245 290 332 406 415 490 580 581 812 830 857 980 1015 1162 1421 1660 1714 2030 2324 2407 2842 2905 3428 4060 4067 4285 4814 5684 5810 5999 7105 8134 8570 9628 11620 11998 12035 14210 16268 16849 17140 20335 23996 24070 24853 28420 29995 33698 40670 41993 48140 49706 59990 67396 71131 81340 83986 84245 99412 117943 119980 124265 142262 167972 168490 173971 209965 235886 248530 284524 336980 347942 355655 419930 471772 497060 497917 589715 695884 711310 839860 869855 995834 1179430 1217797 1422620 1739710 1991668 2062799 2358860 2435594 2489585 3479420 3485419 4125598 4871188 4979170 6088985 6970838 8251196 9958340 10313995 12177970 13941676 14439593 17427095 20627990 24355940 28879186 34854190 41255980 57758372 69708380 72197965 101077151 144395930 202154302 288791860 404308604 505385755 1010771510 2021543020