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11240005200 = 243529366671
BaseRepresentation
bin10100111011111010…
…01101111001010000
31002000100001102110220
422131331031321100
5141004420131300
65055200153040
7545352316314
oct123575157120
932010042426
1011240005200
1148487652a6
122218308780
1310a187a968
14788b07b44
1545bb9bda0
hex29df4de50

11240005200 has 60 divisors (see below), whose sum is σ = 36005487168. Its totient is φ = 2997334400.

The previous prime is 11240005193. The next prime is 11240005219. The reversal of 11240005200 is 250004211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11240005200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4682136 + ... + 4684535.

Almost surely, 211240005200 is an apocalyptic number.

11240005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240005200 is an abundant number, since it is smaller than the sum of its proper divisors (24765481968).

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

11240005200 is a wasteful number, since it uses less digits than its factorization.

11240005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366692 (or 9366681 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 11240005200 its reverse (250004211), we get a palindrome (11490009411).

The spelling of 11240005200 in words is "eleven billion, two hundred forty million, five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9366671 18733342 28100013 37466684 46833355 56200026 74933368 93666710 112400052 140500065 149866736 187333420 224800104 234166775 281000130 374666840 449600208 468333550 562000260 702500325 749333680 936667100 1124000520 1405000650 1873334200 2248001040 2810001300 3746668400 5620002600 11240005200