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130484016 = 243213431621
BaseRepresentation
bin1111100011100…
…00011100110000
3100002112021102100
413301300130300
5231400442031
620540420400
73143044605
oct761603460
9302467370
10130484016
1167722633
1237847700
1321057ba0
14134886ac
15b6c6de6
hex7c70730

130484016 has 120 divisors (see below), whose sum is σ = 402658256. Its totient is φ = 39191040.

The previous prime is 130483999. The next prime is 130484023. The reversal of 130484016 is 610484031.

It is a zygodrome in base 2.

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, 79686 + ... + 81306.

Almost surely, 2130484016 is an apocalyptic number.

130484016 is a gapful number since it is divisible by the number (16) 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 130484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201329128).

130484016 is an abundant number, since it is smaller than the sum of its proper divisors (272174240).

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

130484016 is a wasteful number, since it uses less digits than its factorization.

130484016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130484016 is about 11422.9600366980. The cubic root of 130484016 is about 507.2076224445.

The spelling of 130484016 in words is "one hundred thirty million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1621 1677 1872 2064 2236 3096 3242 3354 4472 4863 5031 6192 6484 6708 8944 9726 10062 12968 13416 14589 19452 20124 21073 25936 26832 29178 38904 40248 42146 58356 63219 69703 77808 80496 84292 116712 126438 139406 168584 189657 209109 233424 252876 278812 337168 379314 418218 505752 557624 627327 758628 836436 906139 1011504 1115248 1254654 1517256 1672872 1812278 2509308 2718417 3034512 3345744 3624556 5018616 5436834 7249112 8155251 10037232 10873668 14498224 16310502 21747336 32621004 43494672 65242008 130484016