Search a number
-
+
540603800 = 235211289251
BaseRepresentation
bin100000001110001…
…111010110011000
31101200020111222222
4200032033112120
52101343310200
6125351003212
716253025242
oct4016172630
91350214888
10540603800
1125817a700
12131069508
1388000709
1451b25092
15326d8d85
hex2038f598

540603800 has 144 divisors (see below), whose sum is σ = 1402644600. Its totient is φ = 193600000.

The previous prime is 540603797. The next prime is 540603839. The reversal of 540603800 is 8306045.

It is a self number, because there is not a number n which added to its sum of digits gives 540603800.

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 35 ways as a sum of consecutive naturals, for example, 2153675 + ... + 2153925.

Almost surely, 2540603800 is an apocalyptic number.

540603800 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 540603800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701322300).

540603800 is an abundant number, since it is smaller than the sum of its proper divisors (862040800).

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

540603800 is a wasteful number, since it uses less digits than its factorization.

540603800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 540603800 is about 23250.8881550792. Note that the first 3 decimals coincide. The cubic root of 540603800 is about 814.6286840280.

Adding to 540603800 its reverse (8306045), we get a palindrome (548909845).

The spelling of 540603800 in words is "five hundred forty million, six hundred three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 121 178 200 220 242 251 275 356 440 445 484 502 550 605 712 890 968 979 1004 1100 1210 1255 1780 1958 2008 2200 2225 2420 2510 2761 3025 3560 3916 4450 4840 4895 5020 5522 6050 6275 7832 8900 9790 10040 10769 11044 12100 12550 13805 17800 19580 21538 22088 22339 24200 24475 25100 27610 30371 39160 43076 44678 48950 50200 53845 55220 60742 69025 86152 89356 97900 107690 110440 111695 121484 138050 151855 178712 195800 215380 223390 242968 245729 269225 276100 303710 430760 446780 491458 538450 552200 558475 607420 759275 893560 982916 1076900 1116950 1214840 1228645 1518550 1965832 2153800 2233900 2457290 2703019 3037100 4467800 4914580 5406038 6074200 6143225 9829160 10812076 12286450 13515095 21624152 24572900 27030190 49145800 54060380 67575475 108120760 135150950 270301900 540603800