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5309966520 = 23325127116141
BaseRepresentation
bin1001111000111111…
…11010100010111000
3111201001122020200200
410330133322202320
541333322412040
62234523002200
7245404653645
oct47437724270
914631566620
105309966520
112285379491
121042369360
13668138c31
1438530adcc
15211283630
hex13c7fa8b8

5309966520 has 96 divisors (see below), whose sum is σ = 17393425920. Its totient is φ = 1404829440.

The previous prime is 5309966503. The next prime is 5309966527. The reversal of 5309966520 is 256699035.

5309966520 is a `hidden beast` number, since 5 + 30 + 9 + 96 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309966527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12351 + ... + 103790.

It is an arithmetic number, because the mean of its divisors is an integer number (181181520).

Almost surely, 25309966520 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 5309966520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696712960).

5309966520 is an abundant number, since it is smaller than the sum of its proper divisors (12083459400).

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

5309966520 is a wasteful number, since it uses less digits than its factorization.

5309966520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116285 (or 116278 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 5309966520 is about 72869.5170836201. The cubic root of 5309966520 is about 1744.6055949983.

The spelling of 5309966520 in words is "five billion, three hundred nine million, nine hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5715 7620 9144 11430 15240 22860 45720 116141 232282 348423 464564 580705 696846 929128 1045269 1161410 1393692 1742115 2090538 2322820 2787384 3484230 4181076 4645640 5226345 6968460 8362152 10452690 13936920 14749907 20905380 29499814 41810760 44249721 58999628 73749535 88499442 117999256 132749163 147499070 176998884 221248605 265498326 294998140 353997768 442497210 530996652 589996280 663745815 884994420 1061993304 1327491630 1769988840 2654983260 5309966520