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2662120 = 23566553
BaseRepresentation
bin1010001001111011101000
312000020202001
422021323220
51140141440
6133020344
731425166
oct12117350
95006661
102662120
1115590aa
12a846b4
13722926
144d4236
15378b9a
hex289ee8

2662120 has 16 divisors (see below), whose sum is σ = 5989860. Its totient is φ = 1064832.

The previous prime is 2662117. The next prime is 2662123. The reversal of 2662120 is 212662.

2662120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2662117) and next prime (2662123).

It can be written as a sum of positive squares in 2 ways, for example, as 2452356 + 209764 = 1566^2 + 458^2 .

It is not an unprimeable number, because it can be changed into a prime (2662123) 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, 33237 + ... + 33316.

22662120 is an apocalyptic number.

2662120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2662120 is an abundant number, since it is smaller than the sum of its proper divisors (3327740).

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

2662120 is a wasteful number, since it uses less digits than its factorization.

2662120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66564 (or 66560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2662120 is about 1631.6004412846. The cubic root of 2662120 is about 138.5933979713.

Adding to 2662120 its reverse (212662), we get a palindrome (2874782).

The spelling of 2662120 in words is "two million, six hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 66553 133106 266212 332765 532424 665530 1331060 2662120