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2039285040 = 243513653617
BaseRepresentation
bin111100110001101…
…0000010100110000
312021010021102011120
41321203100110300
513134024110130
6534204542240
7101351431302
oct17143202460
95233242146
102039285040
1195713a041
1248ab51980
13266650650
14154ba3972
15be072910
hex798d0530

2039285040 has 80 divisors (see below), whose sum is σ = 6808085088. Its totient is φ = 501977088.

The previous prime is 2039284979. The next prime is 2039285057. The reversal of 2039285040 is 405829302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2039284992 and 2039285010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 323689 + ... + 329928.

Almost surely, 22039285040 is an apocalyptic number.

2039285040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2039285040 is an abundant number, since it is smaller than the sum of its proper divisors (4768800048).

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

2039285040 is a wasteful number, since it uses less digits than its factorization.

2039285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653646 (or 653640 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2039285040 is about 45158.4437287203. The cubic root of 2039285040 is about 1268.1169605547.

The spelling of 2039285040 in words is "two billion, thirty-nine million, two hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 653617 1307234 1960851 2614468 3268085 3921702 5228936 6536170 7843404 8497021 9804255 10457872 13072340 15686808 16994042 19608510 25491063 26144680 31373616 33988084 39217020 42485105 50982126 52289360 67976168 78434040 84970210 101964252 127455315 135952336 156868080 169940420 203928504 254910630 339880840 407857008 509821260 679761680 1019642520 2039285040