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2065042540 = 2251131329989
BaseRepresentation
bin111101100010110…
…0000110001101100
312022220202000211001
41323011200301230
513212122330130
6540525010044
7102113400121
oct17305406154
95286660731
102065042540
1196a732030
124976b3924
1326ba9b582
1415838a748
15c145e6ca
hex7b160c6c

2065042540 has 48 divisors (see below), whose sum is σ = 4746097440. Its totient is φ = 748500480.

The previous prime is 2065042523. The next prime is 2065042543. The reversal of 2065042540 is 452405602.

It is a junction number, because it is equal to n+sod(n) for n = 2065042499 and 2065042508.

It is not an unprimeable number, because it can be changed into a prime (2065042543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53866 + ... + 83854.

It is an arithmetic number, because the mean of its divisors is an integer number (98877030).

Almost surely, 22065042540 is an apocalyptic number.

2065042540 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 2065042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373048720).

2065042540 is an abundant number, since it is smaller than the sum of its proper divisors (2681054900).

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

2065042540 is a wasteful number, since it uses less digits than its factorization.

2065042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30322 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2065042540 is about 45442.7391339915. The cubic root of 2065042540 is about 1273.4336864949.

It can be divided in two parts, 20650 and 42540, that added together give a triangular number (63190 = T355).

The spelling of 2065042540 in words is "two billion, sixty-five million, forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 3130 3443 6260 6886 13772 17215 29989 34430 59978 68860 119956 149945 299890 329879 599780 659758 1319516 1649395 3298790 6597580 9386557 18773114 37546228 46932785 93865570 103252127 187731140 206504254 413008508 516260635 1032521270 2065042540