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2040505400 = 235213774471
BaseRepresentation
bin111100110011111…
…1010010000111000
312021012120102012002
41321213322100320
513134332133100
6534251040132
7101365003223
oct17147722070
95235512162
102040505400
119578a29aa
1248b440048
13266989c5b
141550005ba
15be2142d5
hex799fa438

2040505400 has 48 divisors (see below), whose sum is σ = 4778868240. Its totient is φ = 810233600.

The previous prime is 2040505349. The next prime is 2040505409. The reversal of 2040505400 is 45050402.

It is a happy number.

2040505400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040505409) 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 11 ways as a sum of consecutive naturals, for example, 9836 + ... + 64635.

It is an arithmetic number, because the mean of its divisors is an integer number (99559755).

Almost surely, 22040505400 is an apocalyptic number.

2040505400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040505400 is an abundant number, since it is smaller than the sum of its proper divisors (2738362840).

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

2040505400 is a wasteful number, since it uses less digits than its factorization.

2040505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74624 (or 74615 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2040505400 is about 45171.9536881016. The cubic root of 2040505400 is about 1268.3698679195.

Adding to 2040505400 its reverse (45050402), we get a palindrome (2085555802).

The spelling of 2040505400 in words is "two billion, forty million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6850 13700 27400 74471 148942 297884 372355 595768 744710 1489420 1861775 2978840 3723550 7447100 10202527 14894200 20405054 40810108 51012635 81620216 102025270 204050540 255063175 408101080 510126350 1020252700 2040505400