Search a number
-
+
2016992880 = 2433572171959
BaseRepresentation
bin111100000111000…
…1101111001110000
312012120022212002000
41320032031321300
513112322233010
6532051054000
7100661104500
oct17016157160
95176285060
102016992880
119455a3671
124835a1300
13261b46b16
14151c3da00
15bc11c7c0
hex7838de70

2016992880 has 960 divisors, whose sum is σ = 9160128000. Its totient is φ = 404103168.

The previous prime is 2016992869. The next prime is 2016992881. The reversal of 2016992880 is 882996102.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016992881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34186291 + ... + 34186349.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 22016992880 is an apocalyptic number.

2016992880 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 2016992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064000).

2016992880 is an abundant number, since it is smaller than the sum of its proper divisors (7143135120).

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

2016992880 is a wasteful number, since it uses less digits than its factorization.

2016992880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2016992880 is about 44910.9438778568. The cubic root of 2016992880 is about 1263.4792726347.

The spelling of 2016992880 in words is "two billion, sixteen million, nine hundred ninety-two thousand, eight hundred eighty".