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542560203420 = 223519487977269
BaseRepresentation
bin1111110010100110001…
…10111011001010011100
31220212102221202001120220
413321103012323022130
532342130403002140
61053125420041340
754125101431144
oct7712306731234
91825387661526
10542560203420
1119a10a0aa234
128919a393250
133c21774b1b1
141c38d833924
15e1a7288bd0
hex7e531bb29c

542560203420 has 96 divisors (see below), whose sum is σ = 1602410073600. Its totient is φ = 136786247424.

The previous prime is 542560203379. The next prime is 542560203421. The reversal of 542560203420 is 24302065245.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542560203421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66546 + ... + 1043814.

It is an arithmetic number, because the mean of its divisors is an integer number (16691771600).

Almost surely, 2542560203420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542560203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801205036800).

542560203420 is an abundant number, since it is smaller than the sum of its proper divisors (1059849870180).

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

542560203420 is a wasteful number, since it uses less digits than its factorization.

542560203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977787 (or 977785 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 542560203420 its reverse (24302065245), we get a palindrome (566862268665).

The spelling of 542560203420 in words is "five hundred forty-two billion, five hundred sixty million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 487 570 974 1140 1461 1948 2435 2922 4870 5844 7305 9253 9740 14610 18506 27759 29220 37012 46265 55518 92530 111036 138795 185060 277590 555180 977269 1954538 2931807 3909076 4886345 5863614 9772690 11727228 14659035 18568111 19545380 29318070 37136222 55704333 58636140 74272444 92840555 111408666 185681110 222817332 278521665 371362220 475930003 557043330 951860006 1114086660 1427790009 1903720012 2379650015 2855580018 4759300030 5711160036 7138950045 9042670057 9518600060 14277900090 18085340114 27128010171 28555800180 36170680228 45213350285 54256020342 90426700570 108512040684 135640050855 180853401140 271280101710 542560203420