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540434200 = 23524757493
BaseRepresentation
bin100000001101100…
…101111100011000
31101122220220100111
4200031211330120
52101322343300
6125343214104
716251420625
oct4015457430
91348826314
10540434200
11258074239
12130ba7334
1387c71467
1451abd34c
15326a39ba
hex20365f18

540434200 has 48 divisors (see below), whose sum is σ = 1283266080. Its totient is φ = 211570560.

The previous prime is 540434189. The next prime is 540434203. The reversal of 540434200 is 2434045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540434203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19347 + ... + 38146.

It is an arithmetic number, because the mean of its divisors is an integer number (26734710).

Almost surely, 2540434200 is an apocalyptic number.

540434200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540434200 is an abundant number, since it is smaller than the sum of its proper divisors (742831880).

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

540434200 is a wasteful number, since it uses less digits than its factorization.

540434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57556 (or 57547 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 540434200 is about 23247.2406964784. The cubic root of 540434200 is about 814.5434857889.

Adding to 540434200 its reverse (2434045), we get a palindrome (542868245).

The spelling of 540434200 in words is "five hundred forty million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 57493 114986 229972 287465 459944 574930 1149860 1437325 2299720 2702171 2874650 5404342 5749300 10808684 11498600 13510855 21617368 27021710 54043420 67554275 108086840 135108550 270217100 540434200