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5300616132 = 2233718138737
BaseRepresentation
bin1001110111111000…
…01111101111000100
3111200102001012101000
410323330033233010
541323424204012
62233550333300
7245232331230
oct47374175704
914612035330
105300616132
112280072399
12103b1ba230
13666213c66
14383d955c0
15210537ddc
hex13bf0fbc4

5300616132 has 96 divisors (see below), whose sum is σ = 15792707840. Its totient is φ = 1506055680.

The previous prime is 5300616107. The next prime is 5300616151. The reversal of 5300616132 is 2316160035.

5300616132 is a `hidden beast` number, since 5 + 30 + 0 + 616 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5300616096 and 5300616105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117468 + ... + 156204.

Almost surely, 25300616132 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 5300616132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896353920).

5300616132 is an abundant number, since it is smaller than the sum of its proper divisors (10492091708).

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

5300616132 is a wasteful number, since it uses less digits than its factorization.

5300616132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38938 (or 38930 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5300616132 is about 72805.3303817791. The cubic root of 5300616132 is about 1743.5809605591.

Adding to 5300616132 its reverse (2316160035), we get a palindrome (7616776167).

The spelling of 5300616132 in words is "five billion, three hundred million, six hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 181 189 252 362 378 543 724 756 1086 1267 1629 2172 2534 3258 3801 4887 5068 6516 7602 9774 11403 15204 19548 22806 34209 38737 45612 68418 77474 116211 136836 154948 232422 271159 348633 464844 542318 697266 813477 1045899 1084636 1394532 1626954 2091798 2440431 3253908 4183596 4880862 7011397 7321293 9761724 14022794 14642586 21034191 28045588 29285172 42068382 49079779 63102573 84136764 98159558 126205146 147239337 189307719 196319116 252410292 294478674 378615438 441718011 588957348 757230876 883436022 1325154033 1766872044 2650308066 5300616132