Search a number
-
+
540235400 = 23522701177
BaseRepresentation
bin100000001100110…
…101011010001000
31101122112210122112
4200030311122020
52101300013100
6125335041452
716246632215
oct4014653210
91348483575
10540235400
11257a48941
12130b10288
1387c01b23
1451a6ab0c
1532664b35
hex20335688

540235400 has 24 divisors (see below), whose sum is σ = 1256047770. Its totient is φ = 216094080.

The previous prime is 540235387. The next prime is 540235427. The reversal of 540235400 is 4532045.

It can be written as a sum of positive squares in 3 ways, for example, as 449185636 + 91049764 = 21194^2 + 9542^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1350389 + ... + 1350788.

Almost surely, 2540235400 is an apocalyptic number.

540235400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540235400 is an abundant number, since it is smaller than the sum of its proper divisors (715812370).

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

540235400 is a wasteful number, since it uses less digits than its factorization.

540235400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701193 (or 2701184 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 540235400 is about 23242.9645269273. The cubic root of 540235400 is about 814.4435962898.

Adding to 540235400 its reverse (4532045), we get a palindrome (544767445).

The spelling of 540235400 in words is "five hundred forty million, two hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2701177 5402354 10804708 13505885 21609416 27011770 54023540 67529425 108047080 135058850 270117700 540235400