Search a number
-
+
2109444120 = 233557243103
BaseRepresentation
bin111110110111011…
…1001000000011000
312110000021212100000
41331232321000120
513310004202440
6545152413000
7103162656600
oct17556710030
95400255300
102109444120
119927a9653
124aa547160
132780466b4
14160227c00
15c52d0730
hex7dbb9018

2109444120 has 576 divisors, whose sum is σ = 8544856320. Its totient is φ = 466373376.

The previous prime is 2109444089. The next prime is 2109444131. The reversal of 2109444120 is 214449012.

It is a happy number.

2109444120 is a `hidden beast` number, since 210 + 9 + 4 + 441 + 2 + 0 = 666.

2109444120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20479989 + ... + 20480091.

It is an arithmetic number, because the mean of its divisors is an integer number (14834820).

Almost surely, 22109444120 is an apocalyptic number.

2109444120 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 2109444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272428160).

2109444120 is an abundant number, since it is smaller than the sum of its proper divisors (6435412200).

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

2109444120 is a wasteful number, since it uses less digits than its factorization.

2109444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2109444120 is about 45928.6851542693. The cubic root of 2109444120 is about 1282.4959679775.

The spelling of 2109444120 in words is "two billion, one hundred nine million, four hundred forty-four thousand, one hundred twenty".