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2680754176 = 2128092
BaseRepresentation
bin1001111111001001…
…0001000000000000
320220211022102101201
42133302101000000
520442233113201
61122001510544
7123301014562
oct23762210000
96824272351
102680754176
111156241321
12629942454
13339508699
141b6063332
1510a532801
hex9fc91000

2680754176 has 39 divisors (see below), whose sum is σ = 5367488581. Its totient is φ = 1338720256.

The previous prime is 2680754173. The next prime is 2680754179. The reversal of 2680754176 is 6714570862.

It is a happy number.

The square root of 2680754176 is 51776.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2680754173) and next prime (2680754179).

It can be written as a sum of positive squares in only one way, i.e., 2359627776 + 321126400 = 48576^2 + 17920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2680754173) 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 2 ways as a sum of consecutive naturals, for example, 3313260 + ... + 3314068.

Almost surely, 22680754176 is an apocalyptic number.

2680754176 is the 51776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680754176

2680754176 is an abundant number, since it is smaller than the sum of its proper divisors (2686734405).

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

2680754176 is an frugal number, since it uses more digits than its factorization.

2680754176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The cubic root of 2680754176 is about 1389.1601945384.

The spelling of 2680754176 in words is "two billion, six hundred eighty million, seven hundred fifty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 809 1024 1618 2048 3236 4096 6472 12944 25888 51776 103552 207104 414208 654481 828416 1308962 1656832 2617924 3313664 5235848 10471696 20943392 41886784 83773568 167547136 335094272 670188544 1340377088 2680754176