Search a number
-
+
2011534420 = 225715195153
BaseRepresentation
bin111011111100101…
…1001010001010100
312012012001112110211
41313321121101110
513104423100140
6531334055204
7100563521560
oct16771312124
95165045424
102011534420
11942505645
124817aa504
1326098546c
1415121c6a0
15bb8e02ea
hex77e59454

2011534420 has 48 divisors (see below), whose sum is σ = 4859705088. Its totient is φ = 685094400.

The previous prime is 2011534373. The next prime is 2011534423. The reversal of 2011534420 is 244351102.

It is a junction number, because it is equal to n+sod(n) for n = 2011534391 and 2011534400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011534423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26437 + ... + 68716.

It is an arithmetic number, because the mean of its divisors is an integer number (101243856).

Almost surely, 22011534420 is an apocalyptic number.

2011534420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011534420 is an abundant number, since it is smaller than the sum of its proper divisors (2848170668).

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

2011534420 is a wasteful number, since it uses less digits than its factorization.

2011534420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95320 (or 95318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2011534420 is about 44850.1328872056. The cubic root of 2011534420 is about 1262.3384849745.

Adding to 2011534420 its reverse (244351102), we get a palindrome (2255885522).

The spelling of 2011534420 in words is "two billion, eleven million, five hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 10570 21140 95153 190306 380612 475765 666071 951530 1332142 1903060 2664284 3330355 6660710 13321420 14368103 28736206 57472412 71840515 100576721 143681030 201153442 287362060 402306884 502883605 1005767210 2011534420