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5340123540 = 2232597305849
BaseRepresentation
bin1001111100100101…
…11101000110010100
3111210011101101100100
410332102331012110
541414032423130
62241521214100
7246222205203
oct47622750624
914704341310
105340123540
1122a03a6944
121050491330
1367146751b
1438931b23a
15213c3dc60
hex13e4bd194

5340123540 has 72 divisors (see below), whose sum is σ = 16365421800. Its totient is φ = 1409347584.

The previous prime is 5340123511. The next prime is 5340123541. The reversal of 5340123540 is 453210435.

5340123540 is a `hidden beast` number, since 534 + 0 + 123 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53670276 + 5286453264 = 7326^2 + 72708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340123541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135465 + ... + 170384.

It is an arithmetic number, because the mean of its divisors is an integer number (227297525).

Almost surely, 25340123540 is an apocalyptic number.

It is an amenable number.

5340123540 is an abundant number, since it is smaller than the sum of its proper divisors (11025298260).

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

5340123540 is a wasteful number, since it uses less digits than its factorization.

5340123540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305961 (or 305956 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5340123540 is about 73076.1489133082. The cubic root of 5340123540 is about 1747.9020890093.

Adding to 5340123540 its reverse (453210435), we get a palindrome (5793333975).

The spelling of 5340123540 in words is "five billion, three hundred forty million, one hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 305849 611698 917547 1223396 1529245 1835094 2752641 3058490 3670188 4587735 5505282 6116980 9175470 11010564 13763205 18350940 27526410 29667353 55052820 59334706 89002059 118669412 148336765 178004118 267006177 296673530 356008236 445010295 534012354 593347060 890020590 1068024708 1335030885 1780041180 2670061770 5340123540