Search a number
-
+
2160055140 = 2235294761433
BaseRepresentation
bin1000000010111111…
…1101001101100100
312120112112011121020
42000233331031210
513410433231030
6554201251140
7104346110565
oct20057751544
95515464536
102160055140
11a09327441
12503493ab0
13285686c49
14166c4016c
15c997b510
hex80bfd364

2160055140 has 192 divisors, whose sum is σ = 6509583360. Its totient is φ = 534159360.

The previous prime is 2160055133. The next prime is 2160055211. The reversal of 2160055140 is 415500612.

2160055140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2160055140.

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, 4988364 + ... + 4988796.

It is an arithmetic number, because the mean of its divisors is an integer number (33904080).

Almost surely, 22160055140 is an apocalyptic number.

2160055140 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 2160055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254791680).

2160055140 is an abundant number, since it is smaller than the sum of its proper divisors (4349528220).

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

2160055140 is a wasteful number, since it uses less digits than its factorization.

2160055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2160055140 is about 46476.3933626524. The cubic root of 2160055140 is about 1292.6718135115.

Adding to 2160055140 its reverse (415500612), we get a palindrome (2575555752).

The spelling of 2160055140 in words is "two billion, one hundred sixty million, fifty-five thousand, one hundred forty".