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2139872560 = 245734910949
BaseRepresentation
bin111111110001011…
…1101110100110000
312112010112210022021
41333202331310300
513340301410220
6552200521224
7104012421340
oct17742756460
95463483267
102139872560
119a89a1a21
124b8780214
1328143b6a7
141642a8d20
15c7ce14aa
hex7f8bdd30

2139872560 has 80 divisors (see below), whose sum is σ = 5702760000. Its totient is φ = 731501568.

The previous prime is 2139872531. The next prime is 2139872611. The reversal of 2139872560 is 652789312.

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

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 15 ways as a sum of consecutive naturals, for example, 189966 + ... + 200914.

It is an arithmetic number, because the mean of its divisors is an integer number (71284500).

Almost surely, 22139872560 is an apocalyptic number.

2139872560 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 2139872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851380000).

2139872560 is an abundant number, since it is smaller than the sum of its proper divisors (3562887440).

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

2139872560 is a wasteful number, since it uses less digits than its factorization.

2139872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2139872560 is about 46258.7565764580. The cubic root of 2139872560 is about 1288.6331615561.

The spelling of 2139872560 in words is "two billion, one hundred thirty-nine million, eight hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 349 560 698 1396 1745 2443 2792 3490 4886 5584 6980 9772 10949 12215 13960 19544 21898 24430 27920 39088 43796 48860 54745 76643 87592 97720 109490 153286 175184 195440 218980 306572 383215 437960 613144 766430 875920 1226288 1532860 3065720 3821201 6131440 7642402 15284804 19106005 26748407 30569608 38212010 53496814 61139216 76424020 106993628 133742035 152848040 213987256 267484070 305696080 427974512 534968140 1069936280 2139872560