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2986240 = 2852333
BaseRepresentation
bin1011011001000100000000
312121201100111
423121010000
51231024430
6144001104
734245145
oct13310400
95551314
102986240
11175a674
121000194
1380730a
1457a3cc
153dec2a
hex2d9100

2986240 has 36 divisors (see below), whose sum is σ = 7156044. Its totient is φ = 1193984.

The previous prime is 2986229. The next prime is 2986241. The reversal of 2986240 is 426892.

2986240 is digitally balanced in base 5, 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 2 ways, for example, as 1048576 + 1937664 = 1024^2 + 1392^2 .

It is not an unprimeable number, because it can be changed into a prime (2986241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114 + ... + 2446.

It is an arithmetic number, because the mean of its divisors is an integer number (198779).

22986240 is an apocalyptic number.

2986240 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 2986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578022).

2986240 is an abundant number, since it is smaller than the sum of its proper divisors (4169804).

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

2986240 is an equidigital number, since it uses as much as digits as its factorization.

2986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2986240 is about 1728.0740724865. The cubic root of 2986240 is about 144.0041151087.

The spelling of 2986240 in words is "two million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2333 4666 9332 11665 18664 23330 37328 46660 74656 93320 149312 186640 298624 373280 597248 746560 1493120 2986240