Search a number
-
+
2118130560 = 27345713449
BaseRepresentation
bin111111001000000…
…0001101110000000
312110121122011220000
41332100001232000
513314220134220
6550102520000
7103326545520
oct17620015600
95417564800
102118130560
119976a1927
124b1436000
13279a983c0
14161449680
15c5e49390
hex7e401b80

2118130560 has 640 divisors, whose sum is σ = 9330552000. Its totient is φ = 445906944.

The previous prime is 2118130549. The next prime is 2118130603. The reversal of 2118130560 is 650318112.

2118130560 is a `hidden beast` number, since 21 + 1 + 81 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 4717216 + ... + 4717664.

Almost surely, 22118130560 is an apocalyptic number.

2118130560 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 2118130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665276000).

2118130560 is an abundant number, since it is smaller than the sum of its proper divisors (7212421440).

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

2118130560 is a wasteful number, since it uses less digits than its factorization.

2118130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2118130560 is about 46023.1524343998. The cubic root of 2118130560 is about 1284.2539457542.

Adding to 2118130560 its reverse (650318112), we get a palindrome (2768448672).

The spelling of 2118130560 in words is "two billion, one hundred eighteen million, one hundred thirty thousand, five hundred sixty".