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5538720240 = 2432573105379
BaseRepresentation
bin1010010100010001…
…00010100111110000
3112022000002010210200
411022020202213300
542320403021430
62313333555200
7254153226264
oct51210424760
915260063720
105538720240
112392510549
1210a6aa5b00
136a364cb71
143a78560a4
152263bc460
hex14a2229f0

5538720240 has 120 divisors (see below), whose sum is σ = 18855854160. Its totient is φ = 1456745472.

The previous prime is 5538720211. The next prime is 5538720251. The reversal of 5538720240 is 420278355.

5538720240 is a `hidden beast` number, since 553 + 87 + 2 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5538720195 and 5538720204.

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, 130 + ... + 105249.

It is an arithmetic number, because the mean of its divisors is an integer number (157132118).

Almost surely, 25538720240 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 5538720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427927080).

5538720240 is an abundant number, since it is smaller than the sum of its proper divisors (13317133920).

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

5538720240 is a wasteful number, since it uses less digits than its factorization.

5538720240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105471 (or 105462 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5538720240 is about 74422.5788319647. The cubic root of 5538720240 is about 1769.3067858996.

Adding to 5538720240 its reverse (420278355), we get a palindrome (5958998595).

The spelling of 5538720240 in words is "five billion, five hundred thirty-eight million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5840 6570 8760 10512 13140 17520 26280 52560 105379 210758 316137 421516 526895 632274 843032 948411 1053790 1264548 1580685 1686064 1896822 2107580 2529096 3161370 3793644 4215160 4742055 5058192 6322740 7587288 7692667 8430320 9484110 12645480 15174576 15385334 18968220 23078001 25290960 30770668 37936440 38463335 46156002 61541336 69234003 75872880 76926670 92312004 115390005 123082672 138468006 153853340 184624008 230780010 276936012 307706680 346170015 369248016 461560020 553872024 615413360 692340030 923120040 1107744048 1384680060 1846240080 2769360120 5538720240