Search a number
-
+
2118090240 = 29325723571
BaseRepresentation
bin111111000111111…
…0111111000000000
312110121120010120200
41332033313320000
513314212341430
6550102005200
7103326320130
oct17617677000
95417503520
102118090240
11997674602
124b1416800
13279a82c46
14161438ac0
15c5e3c460
hex7e3f7e00

2118090240 has 480 divisors, whose sum is σ = 8763296256. Its totient is φ = 462274560.

The previous prime is 2118090223. The next prime is 2118090241. The reversal of 2118090240 is 420908112.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118090241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709155 + ... + 3709725.

Almost surely, 22118090240 is an apocalyptic number.

2118090240 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 2118090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381648128).

2118090240 is an abundant number, since it is smaller than the sum of its proper divisors (6645206016).

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

2118090240 is a wasteful number, since it uses less digits than its factorization.

2118090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2118090240 is about 46022.7143919174. The cubic root of 2118090240 is about 1284.2457968314.

Adding to 2118090240 its reverse (420908112), we get a palindrome (2538998352).

The spelling of 2118090240 in words is "two billion, one hundred eighteen million, ninety thousand, two hundred forty".