Search a number
-
+
2880830016 = 26331667147
BaseRepresentation
bin1010101110110101…
…1111101001000000
321102202210022212000
42223231133221000
521344443030031
61153510104000
7131250436221
oct25355375100
97382708760
102880830016
111249176259
1268494b000
1336babb35c
141d4865248
1511cda43e6
hexabb5fa40

2880830016 has 56 divisors (see below), whose sum is σ = 8469111840. Its totient is φ = 960276096.

The previous prime is 2880830011. The next prime is 2880830059. The reversal of 2880830016 is 6100380882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2880830011) 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, 831846 + ... + 835301.

It is an arithmetic number, because the mean of its divisors is an integer number (151234140).

Almost surely, 22880830016 is an apocalyptic number.

It is an amenable number.

2880830016 is an abundant number, since it is smaller than the sum of its proper divisors (5588281824).

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

2880830016 is a wasteful number, since it uses less digits than its factorization.

2880830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667168 (or 1667152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2880830016 is about 53673.3641203903. The cubic root of 2880830016 is about 1422.8939882212.

The spelling of 2880830016 in words is "two billion, eight hundred eighty million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1667147 3334294 5001441 6668588 10002882 13337176 15004323 20005764 26674352 30008646 40011528 45012969 53348704 60017292 80023056 90025938 106697408 120034584 160046112 180051876 240069168 320092224 360103752 480138336 720207504 960276672 1440415008 2880830016