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2077540 = 225109953
BaseRepresentation
bin111111011001101100100
310220112211221
413323031210
51012440130
6112310124
723441653
oct7731544
93815757
102077540
111199983
12842344
1357981a
143c119a
152b087a
hex1fb364

2077540 has 24 divisors (see below), whose sum is σ = 4407480. Its totient is φ = 822528.

The previous prime is 2077499. The next prime is 2077549. The reversal of 2077540 is 457702.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 1790244 = 536^2 + 1338^2 .

It is not an unprimeable number, because it can be changed into a prime (2077549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1704 + ... + 2656.

It is an arithmetic number, because the mean of its divisors is an integer number (183645).

22077540 is an apocalyptic number.

2077540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2077540 is an abundant number, since it is smaller than the sum of its proper divisors (2329940).

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

2077540 is a wasteful number, since it uses less digits than its factorization.

2077540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 2077540 is about 1441.3674063194. The cubic root of 2077540 is about 127.5997425335.

The spelling of 2077540 in words is "two million, seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 109 218 436 545 953 1090 1906 2180 3812 4765 9530 19060 103877 207754 415508 519385 1038770 2077540