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540712500 = 2235514419
BaseRepresentation
bin100000001110101…
…001111000110100
31101200110001002220
4200032221320310
52101410300000
6125353202340
716253660166
oct4016517064
91350401086
10540712500
11258244339
121311003b0
138803b033
1451b52936
153270b1a0
hex203a9e34

540712500 has 72 divisors (see below), whose sum is σ = 1577086560. Its totient is φ = 144180000.

The previous prime is 540712493. The next prime is 540712531. The reversal of 540712500 is 5217045.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30291 + ... + 44709.

It is an arithmetic number, because the mean of its divisors is an integer number (21903980).

Almost surely, 2540712500 is an apocalyptic number.

540712500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788543280).

540712500 is an abundant number, since it is smaller than the sum of its proper divisors (1036374060).

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

540712500 is a wasteful number, since it uses less digits than its factorization.

540712500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 540712500 is about 23253.2255827014. The cubic root of 540712500 is about 814.6832798976.

Adding to 540712500 its reverse (5217045), we get a palindrome (545929545).

The spelling of 540712500 in words is "five hundred forty million, seven hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3125 3750 6250 7500 9375 12500 14419 18750 28838 37500 43257 57676 72095 86514 144190 173028 216285 288380 360475 432570 720950 865140 1081425 1441900 1802375 2162850 3604750 4325700 5407125 7209500 9011875 10814250 18023750 21628500 27035625 36047500 45059375 54071250 90118750 108142500 135178125 180237500 270356250 540712500