Search a number
-
+
2140545330 = 2325711499619
BaseRepresentation
bin111111110010110…
…0010000100110010
312112011210222011200
41333211202010302
513340434422310
6552223152030
7104021222640
oct17745420462
95464728150
102140545330
119a9311430
124b8a45616
13281615991
14164402190
15c7dc59c0
hex7f962132

2140545330 has 192 divisors, whose sum is σ = 6963840000. Its totient is φ = 443180160.

The previous prime is 2140545317. The next prime is 2140545331. The reversal of 2140545330 is 335450412.

2140545330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2140545294 and 2140545303.

It is not an unprimeable number, because it can be changed into a prime (2140545331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3457761 + ... + 3458379.

It is an arithmetic number, because the mean of its divisors is an integer number (36270000).

Almost surely, 22140545330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140545330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920000).

2140545330 is an abundant number, since it is smaller than the sum of its proper divisors (4823294670).

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

2140545330 is a wasteful number, since it uses less digits than its factorization.

2140545330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2140545330 is about 46266.0278173953. The cubic root of 2140545330 is about 1288.7681949701.

Adding to 2140545330 its reverse (335450412), we get a palindrome (2475995742).

The spelling of 2140545330 in words is "two billion, one hundred forty million, five hundred forty-five thousand, three hundred thirty".