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542005120 = 2752336821
BaseRepresentation
bin100000010011100…
…101011110000000
31101202212201020201
4200103211132000
52102223130440
6125441014544
716300652566
oct4023453600
91352781221
10542005120
11258a47518
12131624454
13883a14b7
1451daba36
15328b419a
hex204e5780

542005120 has 64 divisors (see below), whose sum is σ = 1352103840. Its totient is φ = 207370240.

The previous prime is 542005111. The next prime is 542005151. The reversal of 542005120 is 21500245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3691 + ... + 33130.

Almost surely, 2542005120 is an apocalyptic number.

It is an amenable number.

542005120 is an abundant number, since it is smaller than the sum of its proper divisors (810098720).

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

542005120 is a wasteful number, since it uses less digits than its factorization.

542005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36863 (or 36851 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 542005120 is about 23281.0034148015. The cubic root of 542005120 is about 815.3319535505.

Adding to 542005120 its reverse (21500245), we get a palindrome (563505365).

The spelling of 542005120 in words is "five hundred forty-two million, five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 36821 73642 147284 184105 294568 368210 589136 736420 846883 1178272 1472840 1693766 2356544 2945680 3387532 4234415 4713088 5891360 6775064 8468830 11782720 13550128 16937660 23565440 27100256 33875320 54200512 67750640 108401024 135501280 271002560 542005120