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2160199680 = 21135193701
BaseRepresentation
bin1000000011000010…
…0000100000000000
312120112210111212120
42000300200200000
513411002342210
6554204324240
7104350252152
oct20060404000
95515714776
102160199680
11a09415aa1
12503543680
13285707982
14166c7aad2
15c99a9270
hex80c20800

2160199680 has 192 divisors, whose sum is σ = 7276651200. Its totient is φ = 545587200.

The previous prime is 2160199669. The next prime is 2160199687. The reversal of 2160199680 is 869910612.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160199687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581830 + ... + 585530.

It is an arithmetic number, because the mean of its divisors is an integer number (37899225).

Almost surely, 22160199680 is an apocalyptic number.

2160199680 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 2160199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638325600).

2160199680 is an abundant number, since it is smaller than the sum of its proper divisors (5116451520).

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

2160199680 is a wasteful number, since it uses less digits than its factorization.

2160199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 2160199680 is about 46477.9483196064. The cubic root of 2160199680 is about 1292.7006458953.

The spelling of 2160199680 in words is "two billion, one hundred sixty million, one hundred ninety-nine thousand, six hundred eighty".