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2140855080 = 233573134001
BaseRepresentation
bin111111110011010…
…1101101100101000
312112012101201001220
41333212231230220
513341024330310
6552233542040
7104023653000
oct17746555450
95465351056
102140855080
119a9503121
124b8b74920
132816c3970
14164483000
15c7e37670
hex7f9adb28

2140855080 has 256 divisors, whose sum is σ = 8068032000. Its totient is φ = 451584000.

The previous prime is 2140855069. The next prime is 2140855099. The reversal of 2140855080 is 805580412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533080 + ... + 537080.

It is an arithmetic number, because the mean of its divisors is an integer number (31515750).

Almost surely, 22140855080 is an apocalyptic number.

2140855080 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 2140855080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034016000).

2140855080 is an abundant number, since it is smaller than the sum of its proper divisors (5927176920).

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

2140855080 is a wasteful number, since it uses less digits than its factorization.

2140855080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 2140855080 is about 46269.3751848888. The cubic root of 2140855080 is about 1288.8303561850.

The spelling of 2140855080 in words is "two billion, one hundred forty million, eight hundred fifty-five thousand, eighty".