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2055768640 = 2656424277
BaseRepresentation
bin111101010001000…
…1000101001000000
312022021021212102021
41322202020221000
513202234044030
6535554131224
7101641513402
oct17242105100
95267255367
102055768640
11965478452
12494580b14
13269ba2363
14157054b72
15c072b97a
hex7a888a40

2055768640 has 28 divisors (see below), whose sum is σ = 4895299836. Its totient is φ = 822307328.

The previous prime is 2055768629. The next prime is 2055768641. The reversal of 2055768640 is 468675502.

It can be written as a sum of positive squares in 2 ways, for example, as 1237350976 + 818417664 = 35176^2 + 28608^2 .

It is not an unprimeable number, because it can be changed into a prime (2055768641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3211819 + ... + 3212458.

It is an arithmetic number, because the mean of its divisors is an integer number (174832137).

Almost surely, 22055768640 is an apocalyptic number.

2055768640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2055768640 is an abundant number, since it is smaller than the sum of its proper divisors (2839531196).

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

2055768640 is an equidigital number, since it uses as much as digits as its factorization.

2055768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424294 (or 6424284 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 2055768640 is about 45340.5849102104. The cubic root of 2055768640 is about 1271.5245378294.

The spelling of 2055768640 in words is "two billion, fifty-five million, seven hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6424277 12848554 25697108 32121385 51394216 64242770 102788432 128485540 205576864 256971080 411153728 513942160 1027884320 2055768640