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2001403540 = 225175886481
BaseRepresentation
bin111011101001010…
…1111111010010100
312011110222211112001
41313102233322110
513044324403130
6530333005044
7100411435513
oct16722577224
95143884461
102001403540
11937816114
1247a323784
1325b849166
1414db4267a
15baa8d6ca
hex774afe94

2001403540 has 24 divisors (see below), whose sum is σ = 4450180392. Its totient is φ = 753469440.

The previous prime is 2001403529. The next prime is 2001403553. The reversal of 2001403540 is 453041002.

It can be written as a sum of positive squares in 4 ways, for example, as 628404624 + 1372998916 = 25068^2 + 37054^2 .

It is a super-2 number, since 2×20014035402 = 8011232259849063200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2942901 + ... + 2943580.

It is an arithmetic number, because the mean of its divisors is an integer number (185424183).

Almost surely, 22001403540 is an apocalyptic number.

2001403540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001403540 is an abundant number, since it is smaller than the sum of its proper divisors (2448776852).

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

2001403540 is a wasteful number, since it uses less digits than its factorization.

2001403540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886507 (or 5886505 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2001403540 is about 44737.0488521538. The cubic root of 2001403540 is about 1260.2157059104.

Adding to 2001403540 its reverse (453041002), we get a palindrome (2454444542).

The spelling of 2001403540 in words is "two billion, one million, four hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5886481 11772962 23545924 29432405 58864810 100070177 117729620 200140354 400280708 500350885 1000701770 2001403540