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2775045640 = 235417921419
BaseRepresentation
bin1010010101100111…
…1101011000001000
321011101201220222011
42211121331120020
521140402430030
61135210505304
7125524333033
oct24531753010
97141656864
102775045640
1111a4493954
12655435234
13352c00a53
141c47aa01a
1511395ab2a
hexa567d608

2775045640 has 64 divisors (see below), whose sum is σ = 6477408000. Its totient is φ = 1069186560.

The previous prime is 2775045619. The next prime is 2775045653. The reversal of 2775045640 is 465405772.

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

It is a junction number, because it is equal to n+sod(n) for n = 2775045593 and 2775045602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118851 + ... + 140269.

It is an arithmetic number, because the mean of its divisors is an integer number (101209500).

Almost surely, 22775045640 is an apocalyptic number.

2775045640 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 2775045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238704000).

2775045640 is an abundant number, since it is smaller than the sum of its proper divisors (3702362360).

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

2775045640 is a wasteful number, since it uses less digits than its factorization.

2775045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21550 (or 21546 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 2775045640 is about 52678.7019581918. The cubic root of 2775045640 is about 1405.2600828032.

The spelling of 2775045640 in words is "two billion, seven hundred seventy-five million, forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6478 12956 16195 21419 25912 32390 42838 64780 85676 107095 129560 171352 214190 428380 856760 878179 1692101 1756358 3384202 3512716 4390895 6768404 7025432 8460505 8781790 13536808 16921010 17563580 33842020 35127160 67684040 69376141 138752282 277504564 346880705 555009128 693761410 1387522820 2775045640