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2032066240 = 26544914143
BaseRepresentation
bin111100100011110…
…1101111011000000
312020121200122211121
41321013231323000
513130202104430
6533350122024
7101233164241
oct17107557300
95217618747
102032066240
11953059496
12488650314
13264cc3979
14153c44cc8
15bd5e8a7a
hex791edec0

2032066240 has 56 divisors (see below), whose sum is σ = 4849977600. Its totient is φ = 810958848.

The previous prime is 2032066237. The next prime is 2032066241. The reversal of 2032066240 is 426602302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2032066241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136609 + ... + 150751.

Almost surely, 22032066240 is an apocalyptic number.

2032066240 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 2032066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424988800).

2032066240 is an abundant number, since it is smaller than the sum of its proper divisors (2817911360).

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

2032066240 is a wasteful number, since it uses less digits than its factorization.

2032066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2032066240 is about 45078.4454035407. The cubic root of 2032066240 is about 1266.6188692336.

Adding to 2032066240 its reverse (426602302), we get a palindrome (2458668542).

The spelling of 2032066240 in words is "two billion, thirty-two million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 449 898 1796 2245 3592 4490 7184 8980 14143 14368 17960 28286 28736 35920 56572 70715 71840 113144 141430 143680 226288 282860 452576 565720 905152 1131440 2262880 4525760 6350207 12700414 25400828 31751035 50801656 63502070 101603312 127004140 203206624 254008280 406413248 508016560 1016033120 2032066240