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2086059680 = 25573178601
BaseRepresentation
bin111110001010110…
…1011111010100000
312101101021210220122
41330111223322200
513233012402210
6542555255412
7102460133435
oct17425537240
95341253818
102086059680
11980587571
124a274a568
13273249953
1415b09bb8c
15c3211b55
hex7c56bea0

2086059680 has 48 divisors (see below), whose sum is σ = 4995855144. Its totient is φ = 822988800.

The previous prime is 2086059671. The next prime is 2086059707. The reversal of 2086059680 is 869506802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1275632656 + 810427024 = 35716^2 + 28468^2 .

It is a super-3 number, since 3×20860596803 (a number of 29 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 77621 + ... + 100980.

Almost surely, 22086059680 is an apocalyptic number.

2086059680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086059680 is an abundant number, since it is smaller than the sum of its proper divisors (2909795464).

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

2086059680 is a wasteful number, since it uses less digits than its factorization.

2086059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178689 (or 178681 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 2086059680 is about 45673.4023256424. The cubic root of 2086059680 is about 1277.7392711829.

The spelling of 2086059680 in words is "two billion, eighty-six million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 178601 357202 714404 893005 1428808 1786010 2857616 3572020 5715232 7144040 13037873 14288080 26075746 28576160 52151492 65189365 104302984 130378730 208605968 260757460 417211936 521514920 1043029840 2086059680