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5135124240 = 243257132117
BaseRepresentation
bin1001100100001001…
…11100011100010000
3111020212122100011200
410302010330130100
541004042433430
62205315311200
7241152556461
oct46204743420
914225570150
105135124240
1121a5709934
12bb38ab500
1363ab4c86c
14369dd6d68
15200c48460
hex13213c710

5135124240 has 60 divisors (see below), whose sum is σ = 17245461324. Its totient is φ = 1369366272.

The previous prime is 5135124161. The next prime is 5135124259. The reversal of 5135124240 is 424215315.

5135124240 is a `hidden beast` number, since 51 + 351 + 24 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1921594896 + 3213529344 = 43836^2 + 56688^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 3565339 + ... + 3566778.

Almost surely, 25135124240 is an apocalyptic number.

It is an amenable number.

5135124240 is an abundant number, since it is smaller than the sum of its proper divisors (12110337084).

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

5135124240 is a wasteful number, since it uses less digits than its factorization.

5135124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132136 (or 7132127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5135124240 is about 71659.7811886137. The cubic root of 5135124240 is about 1725.2431768074.

Adding to 5135124240 its reverse (424215315), we get a palindrome (5559339555).

The spelling of 5135124240 in words is "five billion, one hundred thirty-five million, one hundred twenty-four 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 80 90 120 144 180 240 360 720 7132117 14264234 21396351 28528468 35660585 42792702 57056936 64189053 71321170 85585404 106981755 114113872 128378106 142642340 171170808 213963510 256756212 285284680 320945265 342341616 427927020 513512424 570569360 641890530 855854040 1027024848 1283781060 1711708080 2567562120 5135124240