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2084882020 = 225132616829
BaseRepresentation
bin111110001000100…
…1100011001100100
312101022001222110121
41330101030121210
513232212211040
6542514131324
7102444130144
oct17421143144
95338058417
102084882020
1197a9527a1
124a2280b44
13272c26900
1415ac72924
15c307cc4a
hex7c44c664

2084882020 has 36 divisors (see below), whose sum is σ = 4740955380. Its totient is φ = 769801344.

The previous prime is 2084882017. The next prime is 2084882039. The reversal of 2084882020 is 202884802.

It can be written as a sum of positive squares in 6 ways, for example, as 416813056 + 1668068964 = 20416^2 + 40842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305035 + ... + 311794.

It is an arithmetic number, because the mean of its divisors is an integer number (131693205).

Almost surely, 22084882020 is an apocalyptic number.

2084882020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084882020 is an abundant number, since it is smaller than the sum of its proper divisors (2656073360).

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

2084882020 is a wasteful number, since it uses less digits than its factorization.

2084882020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616864 (or 616849 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2084882020 is about 45660.5083195533. The cubic root of 2084882020 is about 1277.4987817897.

It can be divided in two parts, 20848820 and 20, that multiplied together give a square (416976400 = 204202).

The spelling of 2084882020 in words is "two billion, eighty-four million, eight hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 616829 1233658 2467316 3084145 6168290 8018777 12336580 16037554 32075108 40093885 80187770 104244101 160375540 208488202 416976404 521220505 1042441010 2084882020