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30530352540 = 22351933198069
BaseRepresentation
bin11100011011110000…
…000011010110011100
32220210201020121021210
4130123300003112130
51000011232240130
622005255224420
72130366500112
oct343360032634
986721217253
1030530352540
1111a47651816
125b00678110
132b5721677c
141698a61ab2
15bda48a5b0
hex71bc0359c

30530352540 has 96 divisors (see below), whose sum is σ = 90022464000. Its totient is φ = 7709651712.

The previous prime is 30530352539. The next prime is 30530352551. The reversal of 30530352540 is 4525303503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30530352498 and 30530352507.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3779626 + ... + 3787694.

It is an arithmetic number, because the mean of its divisors is an integer number (937734000).

Almost surely, 230530352540 is an apocalyptic number.

30530352540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30530352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45011232000).

30530352540 is an abundant number, since it is smaller than the sum of its proper divisors (59492111460).

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

30530352540 is a wasteful number, since it uses less digits than its factorization.

30530352540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11419 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 30530352540 in words is "thirty billion, five hundred thirty million, three hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3319 6638 8069 9957 13276 16138 16595 19914 24207 32276 33190 39828 40345 48414 49785 63061 66380 80690 96828 99570 121035 126122 153311 161380 189183 199140 242070 252244 306622 315305 378366 459933 484140 613244 630610 756732 766555 919866 945915 1261220 1533110 1839732 1891830 2299665 3066220 3783660 4599330 9198660 26781011 53562022 80343033 107124044 133905055 160686066 267810110 321372132 401715165 508839209 535620220 803430330 1017678418 1526517627 1606860660 2035356836 2544196045 3053035254 5088392090 6106070508 7632588135 10176784180 15265176270 30530352540