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2060828680 = 235534212309
BaseRepresentation
bin111101011010101…
…1100000000001000
312022121210221111011
41322311130000020
513210033004210
6540254413304
7102032516611
oct17265340010
95277727434
102060828680
119683140a9
12496201234
1326ac54571
141579b0c08
15c0dcad8a
hex7ad5c008

2060828680 has 64 divisors (see below), whose sum is σ = 4737625200. Its totient is φ = 806507520.

The previous prime is 2060828669. The next prime is 2060828699. The reversal of 2060828680 is 868280602.

It can be written as a sum of positive squares in 8 ways, for example, as 762091236 + 1298737444 = 27606^2 + 36038^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 891366 + ... + 893674.

Almost surely, 22060828680 is an apocalyptic number.

2060828680 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 2060828680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368812600).

2060828680 is an abundant number, since it is smaller than the sum of its proper divisors (2676796520).

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

2060828680 is a wasteful number, since it uses less digits than its factorization.

2060828680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 2060828680 is about 45396.3509546748. The cubic root of 2060828680 is about 1272.5669205957.

The spelling of 2060828680 in words is "two billion, sixty million, eight hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 421 424 530 842 1060 1684 2105 2120 2309 3368 4210 4618 8420 9236 11545 16840 18472 22313 23090 44626 46180 89252 92360 111565 122377 178504 223130 244754 446260 489508 611885 892520 972089 979016 1223770 1944178 2447540 3888356 4860445 4895080 7776712 9720890 19441780 38883560 51520717 103041434 206082868 257603585 412165736 515207170 1030414340 2060828680