Search a number
-
+
2011135440 = 24358379731
BaseRepresentation
bin111011111011111…
…0111110111010000
312012011022021011210
41313313313313100
513104322313230
6531321340120
7100560240426
oct16767676720
95164267153
102011135440
11942262906
12481637640
13260875992
14151157116
15bb861eb0
hex77df7dd0

2011135440 has 40 divisors (see below), whose sum is σ = 6234520608. Its totient is φ = 536302720.

The previous prime is 2011135429. The next prime is 2011135453. The reversal of 2011135440 is 445311102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189626 + ... + 4190105.

Almost surely, 22011135440 is an apocalyptic number.

2011135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011135440 is an abundant number, since it is smaller than the sum of its proper divisors (4223385168).

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

2011135440 is a wasteful number, since it uses less digits than its factorization.

2011135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379747 (or 8379741 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2011135440 is about 44845.6847422358. The cubic root of 2011135440 is about 1262.2550194857.

Adding to 2011135440 its reverse (445311102), we get a palindrome (2456446542).

The spelling of 2011135440 in words is "two billion, eleven million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8379731 16759462 25139193 33518924 41898655 50278386 67037848 83797310 100556772 125695965 134075696 167594620 201113544 251391930 335189240 402227088 502783860 670378480 1005567720 2011135440