Search a number
-
+
540200144 = 24112279029
BaseRepresentation
bin100000001100101…
…100110011010000
31101122111000021202
4200030230303100
52101242401034
6125334210332
716246424351
oct4014546320
91348430252
10540200144
11257a24400
12130ab39a8
1387bbba73
1451a5bd28
153265947e
hex2032ccd0

540200144 has 30 divisors (see below), whose sum is σ = 1150440690. Its totient is φ = 245544640.

The previous prime is 540200123. The next prime is 540200161. The reversal of 540200144 is 441002045.

It can be written as a sum of positive squares in only one way, i.e., 275161744 + 265038400 = 16588^2 + 16280^2 .

It is a congruent number.

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, 137579 + ... + 141450.

It is an arithmetic number, because the mean of its divisors is an integer number (38348023).

Almost surely, 2540200144 is an apocalyptic number.

It is an amenable number.

540200144 is an abundant number, since it is smaller than the sum of its proper divisors (610240546).

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

540200144 is a wasteful number, since it uses less digits than its factorization.

540200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279059 (or 279042 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 540200144 is about 23242.2060915052. The cubic root of 540200144 is about 814.4258789218.

Adding to 540200144 its reverse (441002045), we get a palindrome (981202189).

It can be divided in two parts, 5402001 and 44, that added together give a palindrome (5402045).

The spelling of 540200144 in words is "five hundred forty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 279029 558058 1116116 2232232 3069319 4464464 6138638 12277276 24554552 33762509 49109104 67525018 135050036 270100072 540200144