Search a number
-
+
2141530560 = 2632513471217
BaseRepresentation
bin111111110100101…
…0010100111000000
312112020200000122200
41333221102213000
513341212434220
6552300233200
7104032465221
oct17751224700
95466600580
102141530560
119a9924674
124b923b800
1328189c260
141645bb248
15c801c890
hex7fa529c0

2141530560 has 336 divisors, whose sum is σ = 8108021376. Its totient is φ = 515506176.

The previous prime is 2141530543. The next prime is 2141530571. The reversal of 2141530560 is 650351412.

2141530560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759072 + ... + 1760288.

It is an arithmetic number, because the mean of its divisors is an integer number (24131016).

Almost surely, 22141530560 is an apocalyptic number.

2141530560 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 2141530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054010688).

2141530560 is an abundant number, since it is smaller than the sum of its proper divisors (5966490816).

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

2141530560 is a wasteful number, since it uses less digits than its factorization.

2141530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2141530560 is about 46276.6740377914. The cubic root of 2141530560 is about 1288.9658919952.

Adding to 2141530560 its reverse (650351412), we get a palindrome (2791881972).

The spelling of 2141530560 in words is "two billion, one hundred forty-one million, five hundred thirty thousand, five hundred sixty".