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3894560 = 255101241
BaseRepresentation
bin1110110110110100100000
321022212022222
432312310200
51444111220
6215250212
745050255
oct16666440
97285288
103894560
11222004a
121379968
13a64897
1473542c
1551de25
hex3b6d20

3894560 has 48 divisors (see below), whose sum is σ = 9330552. Its totient is φ = 1536000.

The previous prime is 3894557. The next prime is 3894571. The reversal of 3894560 is 654983.

3894560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 5776 = 1972^2 + 76^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3894560.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16040 + ... + 16280.

Almost surely, 23894560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665276).

3894560 is an abundant number, since it is smaller than the sum of its proper divisors (5435992).

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

3894560 is a wasteful number, since it uses less digits than its factorization.

3894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3894560 is about 1973.4639596405. The cubic root of 3894560 is about 157.3328705020.

The spelling of 3894560 in words is "three million, eight hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 241 404 482 505 808 964 1010 1205 1616 1928 2020 2410 3232 3856 4040 4820 7712 8080 9640 16160 19280 24341 38560 48682 97364 121705 194728 243410 389456 486820 778912 973640 1947280 3894560