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5206382460 = 2233510790107
BaseRepresentation
bin1001101100101001…
…10001011101111100
3111102211201122002000
410312110301131330
541130313214320
62220342502300
7243006343416
oct46624613574
914384648060
105206382460
11223195a224
121013734990
1364c83bca6
143756659b6
15207121c90
hex13653177c

5206382460 has 96 divisors (see below), whose sum is σ = 16349195520. Its totient is φ = 1375377984.

The previous prime is 5206382449. The next prime is 5206382491. The reversal of 5206382460 is 642836025.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12727 + ... + 102833.

It is an arithmetic number, because the mean of its divisors is an integer number (170304120).

Almost surely, 25206382460 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 5206382460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174597760).

5206382460 is an abundant number, since it is smaller than the sum of its proper divisors (11142813060).

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

5206382460 is a wasteful number, since it uses less digits than its factorization.

5206382460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90232 (or 90224 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5206382460 is about 72155.2663358677. The cubic root of 5206382460 is about 1733.1867332457.

The spelling of 5206382460 in words is "five billion, two hundred six million, three hundred eighty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 19260 28890 57780 90107 180214 270321 360428 450535 540642 810963 901070 1081284 1351605 1621926 1802140 2432889 2703210 3243852 4054815 4865778 5406420 8109630 9641449 9731556 12164445 16219260 19282898 24328890 28924347 38565796 48207245 48657780 57848694 86773041 96414490 115697388 144621735 173546082 192828980 260319123 289243470 347092164 433865205 520638246 578486940 867730410 1041276492 1301595615 1735460820 2603191230 5206382460