Search a number
-
+
540465450 = 235271927091
BaseRepresentation
bin100000001101101…
…101100100101010
31101122222111012220
4200031231210222
52101324343300
6125344014510
716251611010
oct4015554452
91348874186
10540465450
11258095768
12131001436
1387c82755
1451aca8b0
15326acda0
hex2036d92a

540465450 has 96 divisors (see below), whose sum is σ = 1612515840. Its totient is φ = 117028800.

The previous prime is 540465421. The next prime is 540465481. The reversal of 540465450 is 54564045.

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 47 ways as a sum of consecutive naturals, for example, 6405 + ... + 33495.

It is an arithmetic number, because the mean of its divisors is an integer number (16797040).

Almost surely, 2540465450 is an apocalyptic number.

540465450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540465450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806257920).

540465450 is an abundant number, since it is smaller than the sum of its proper divisors (1072050390).

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

540465450 is a wasteful number, since it uses less digits than its factorization.

540465450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27132 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 540465450 is about 23247.9128095406. The cubic root of 540465450 is about 814.5591855067.

The spelling of 540465450 in words is "five hundred forty million, four hundred sixty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 266 285 350 399 475 525 570 665 798 950 1050 1330 1425 1995 2850 3325 3990 6650 9975 19950 27091 54182 81273 135455 162546 189637 270910 379274 406365 514729 568911 677275 812730 948185 1029458 1137822 1354550 1544187 1896370 2031825 2573645 2844555 3088374 3603103 4063650 4740925 5147290 5689110 7206206 7720935 9481850 10809309 12868225 14222775 15441870 18015515 21618618 25736450 28445550 36031030 38604675 54046545 77209350 90077575 108093090 180155150 270232725 540465450