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411662020 = 225711318623
BaseRepresentation
bin11000100010010…
…111011011000100
31001200121121010111
4120202113123010
51320341141040
6104503202404
713126032550
oct3042273304
91050547114
10411662020
111a1410850
12b5a46404
13673957c3
143c95c860
1526218dea
hex188976c4

411662020 has 96 divisors (see below), whose sum is σ = 1112702976. Its totient is φ = 124156800.

The previous prime is 411661997. The next prime is 411662023. The reversal of 411662020 is 20266114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 411661982 and 411662000.

It is not an unprimeable number, because it can be changed into a prime (411662023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43429 + ... + 52051.

It is an arithmetic number, because the mean of its divisors is an integer number (11590656).

Almost surely, 2411662020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411662020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556351488).

411662020 is an abundant number, since it is smaller than the sum of its proper divisors (701040956).

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

411662020 is a wasteful number, since it uses less digits than its factorization.

411662020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 411662020 is about 20289.4558823050. The cubic root of 411662020 is about 743.8983582773.

The spelling of 411662020 in words is "four hundred eleven million, six hundred sixty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3410 4340 4774 6820 8623 9548 11935 17246 23870 34492 43115 47740 60361 86230 94853 120722 172460 189706 241444 267313 301805 379412 474265 534626 603610 663971 948530 1069252 1207220 1327942 1336565 1871191 1897060 2655884 2673130 2940443 3319855 3742382 5346260 5880886 6639710 7484764 9355955 11761772 13279420 14702215 18711910 20583101 29404430 37423820 41166202 58808860 82332404 102915505 205831010 411662020