Search a number
-
+
2180120160 = 25354541917
BaseRepresentation
bin1000000111110001…
…1111111001100000
312121221021120122010
42001330133321200
513431102321120
61000155312520
7105011500311
oct20174377140
95557246563
102180120160
11a196915a9
1250a14b740
13289890b3a
14169784608
15cb5e17e0
hex81f1fe60

2180120160 has 48 divisors (see below), whose sum is σ = 6867380016. Its totient is φ = 581365248.

The previous prime is 2180120147. The next prime is 2180120161. The reversal of 2180120160 is 610210812.

2180120160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180120161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2270479 + ... + 2271438.

It is an arithmetic number, because the mean of its divisors is an integer number (143070417).

Almost surely, 22180120160 is an apocalyptic number.

2180120160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2180120160 is an abundant number, since it is smaller than the sum of its proper divisors (4687259856).

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

2180120160 is a wasteful number, since it uses less digits than its factorization.

2180120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541935 (or 4541927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 2180120160 is about 46691.7568742064. The cubic root of 2180120160 is about 1296.6620797862.

Adding to 2180120160 its reverse (610210812), we get a palindrome (2790330972).

The spelling of 2180120160 in words is "two billion, one hundred eighty million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4541917 9083834 13625751 18167668 22709585 27251502 36335336 45419170 54503004 68128755 72670672 90838340 109006008 136257510 145341344 181676680 218012016 272515020 363353360 436024032 545030040 726706720 1090060080 2180120160