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2077296 = 243133329
BaseRepresentation
bin111111011001001110000
310220112111220
413323021300
51012433141
6112305040
723441154
oct7731160
93815456
102077296
111199781
12842180
13579690
143c1064
152b0766
hex1fb270

2077296 has 40 divisors (see below), whose sum is σ = 5780880. Its totient is φ = 638976.

The previous prime is 2077261. The next prime is 2077297. The reversal of 2077296 is 6927702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (144522).

22077296 is an apocalyptic number.

2077296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2077296 is an abundant number, since it is smaller than the sum of its proper divisors (3703584).

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

2077296 is a wasteful number, since it uses less digits than its factorization.

2077296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 2077296 is about 1441.2827619867. The cubic root of 2077296 is about 127.5947469528.

It can be divided in two parts, 207 and 7296, that added together give a triangular number (7503 = T122).

The spelling of 2077296 in words is "two million, seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3329 6658 9987 13316 19974 26632 39948 43277 53264 79896 86554 129831 159792 173108 259662 346216 519324 692432 1038648 2077296