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5285730460 = 22519371093449
BaseRepresentation
bin1001110110000110…
…11101100010011100
3111122101000221001211
410323003131202130
541311121333320
62232255314204
7244661652613
oct47303354234
914571027054
105285730460
11227272558a
12103621b964
1366310167a
14381ddc87a
1520e09755a
hex13b0dd89c

5285730460 has 96 divisors (see below), whose sum is σ = 12113640000. Its totient is φ = 1930438656.

The previous prime is 5285730431. The next prime is 5285730523. The reversal of 5285730460 is 640375825.

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, 1530816 + ... + 1534264.

It is an arithmetic number, because the mean of its divisors is an integer number (126183750).

Almost surely, 25285730460 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 5285730460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056820000).

5285730460 is an abundant number, since it is smaller than the sum of its proper divisors (6827909540).

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

5285730460 is a wasteful number, since it uses less digits than its factorization.

5285730460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 5285730460 is about 72703.0292353764. The cubic root of 5285730460 is about 1741.9472694671.

The spelling of 5285730460 in words is "five billion, two hundred eighty-five million, seven hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 109 148 185 190 218 370 380 436 545 703 740 1090 1406 2071 2180 2812 3449 3515 4033 4142 6898 7030 8066 8284 10355 13796 14060 16132 17245 20165 20710 34490 40330 41420 65531 68980 76627 80660 127613 131062 153254 255226 262124 306508 327655 375941 383135 510452 638065 655310 751882 766270 1276130 1310620 1503764 1532540 1879705 2424647 2552260 3759410 4849294 7142879 7518820 9698588 12123235 13909817 14285758 24246470 27819634 28571516 35714395 48492940 55639268 69549085 71428790 139098170 142857580 264286523 278196340 528573046 1057146092 1321432615 2642865230 5285730460