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2082775760 = 245132002669
BaseRepresentation
bin111110000100100…
…1010001011010000
312101011002222012222
41330021022023100
513231142311020
6542401040212
7102420205352
oct17411121320
95334088188
102082775760
1197974428a
124a1626068
13272669cc0
1415a8850d2
15c2cb3b25
hex7c24a2d0

2082775760 has 40 divisors (see below), whose sum is σ = 5214952680. Its totient is φ = 769024512.

The previous prime is 2082775759. The next prime is 2082775771. The reversal of 2082775760 is 675772802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 245110336 + 1837665424 = 15656^2 + 42868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1000295 + ... + 1002374.

It is an arithmetic number, because the mean of its divisors is an integer number (130373817).

Almost surely, 22082775760 is an apocalyptic number.

2082775760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082775760 is an abundant number, since it is smaller than the sum of its proper divisors (3132176920).

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

2082775760 is a wasteful number, since it uses less digits than its factorization.

2082775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002695 (or 2002689 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 2082775760 is about 45637.4381401936. The cubic root of 2082775760 is about 1277.0684375018.

The spelling of 2082775760 in words is "two billion, eighty-two million, seven hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2002669 4005338 8010676 10013345 16021352 20026690 26034697 32042704 40053380 52069394 80106760 104138788 130173485 160213520 208277576 260346970 416555152 520693940 1041387880 2082775760