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5660713460 = 2253173181691
BaseRepresentation
bin1010100010110011…
…11010000111110100
3112121111122001001002
411101121322013310
543043120312320
62333412422432
7260164161533
oct52131720764
915544561032
105660713460
112445363896
12111b917a18
136c29c40bc
143b9b3031a
15231e68675
hex15167a1f4

5660713460 has 96 divisors (see below), whose sum is σ = 12525886464. Its totient is φ = 2146176000.

The previous prime is 5660713439. The next prime is 5660713463. The reversal of 5660713460 is 643170665.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660713463) 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 31 ways as a sum of consecutive naturals, for example, 8191715 + ... + 8192405.

It is an arithmetic number, because the mean of its divisors is an integer number (130477984).

Almost surely, 25660713460 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 5660713460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262943232).

5660713460 is an abundant number, since it is smaller than the sum of its proper divisors (6865173004).

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

5660713460 is a wasteful number, since it uses less digits than its factorization.

5660713460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 5660713460 is about 75237.7130168109. The cubic root of 5660713460 is about 1782.2025358854.

The spelling of 5660713460 in words is "five billion, six hundred sixty million, seven hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 181 292 310 362 365 620 691 724 730 905 1382 1460 1810 2263 2764 3455 3620 4526 5611 6910 9052 11222 11315 13213 13820 21421 22444 22630 26426 28055 42842 45260 50443 52852 56110 66065 85684 100886 107105 112220 125071 132130 201772 214210 250142 252215 264260 409603 428420 500284 504430 625355 819206 1008860 1250710 1563733 1638412 2048015 2501420 3127466 3877201 4096030 6254932 7754402 7818665 8192060 9130183 15508804 15637330 18260366 19386005 31274660 36520732 38772010 45650915 77544020 91301830 182603660 283035673 566071346 1132142692 1415178365 2830356730 5660713460