Search a number
-
+
2080209120 = 2535113171179
BaseRepresentation
bin111101111111101…
…0111100011100000
312100222021120110020
41323333113203200
513230013142440
6542230033440
7102356325423
oct17377274340
95328246406
102080209120
119782509a0
124a07a8880
13271c7b992
1415a3b79ba
15c29583d0
hex7bfd78e0

2080209120 has 384 divisors, whose sum is σ = 7524679680. Its totient is φ = 478464000.

The previous prime is 2080209107. The next prime is 2080209211. The reversal of 2080209120 is 219020802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11621191 + ... + 11621369.

It is an arithmetic number, because the mean of its divisors is an integer number (19595520).

Almost surely, 22080209120 is an apocalyptic number.

2080209120 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 2080209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762339840).

2080209120 is an abundant number, since it is smaller than the sum of its proper divisors (5444470560).

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

2080209120 is a wasteful number, since it uses less digits than its factorization.

2080209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2080209120 is about 45609.3095760065. The cubic root of 2080209120 is about 1276.5436374826.

Adding to 2080209120 its reverse (219020802), we get a palindrome (2299229922).

The spelling of 2080209120 in words is "two billion, eighty million, two hundred nine thousand, one hundred twenty".